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2 Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Câu 7: Cho tam giác đều có cạnh bằng a , gọi là tam giác H1 . Nối các trung điểm của H1 để tạo thành tam giác H2 . Tiếp theo, nối các trung điểm của H2 để tạo thành tam giác H3 (Hình 1). Cứ tiếp tục như vậy, nhận được dãy tam giác H ,H ,H , 1 2 3  . Tính tổng chu vi và tổng diện tích các tam giác của dãy. Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................
3 Câu 8: Tìm các giới hạn sau: a)   2 1 lim 3 2 x x x    ; b) 2 4 16 lim x 4 x  x   ; c) 2 3 7 lim x 2 x  x    . Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Câu 9: Tìm các giới hạn sau: a) 2 lim x 1 x  x    ; b) 2 2 lim x x  x  . Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Câu 10: Tìm các giới hạn sau: a) 4 1 lim x x 4    ; b) 2 lim x 2 x x    . Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................

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