Tiêu đề LIMITS AND DERIVATIVES Q-1.pdf ✅

CLASS : XIth SUBJECT : MATHS DATE : DPP NO. :1 1. lim θ→ π 2 π 2 ― θ cot θ is equal to a) 0 b)-1 c) 1 d)∞ 2. lim x→0 a x ― b x e x ― 1 is equal to a)loge ( a b ) b)loge ( b a ) c) loge(ab) d)loge(a + b) 3. lim x→ ― ∞ 2x ― 1 x 2 + 2x + 1 is equal to a) 2 b)-2 c) 1 d)-1 4. lim x→2 = 1 + 2 + x ― 3 x ― 2 is equal to a) 1 8 3 b) 1 3 c) 8 3 d) 3 5. lim x→0 { 1 x 3 8 + x ― 1 2x} is equal to a) 1 12 b) ―4 3 c) ―16 3 d) ―1 48 6. The value of lim x→0 a x ― b x x , is a)log ( a b ) b)log ( b a ) c) log(ab) d) ― log(ab) 7. lim x→1 ∑ n r=1 x r ― n x ― 1 is equal to a) n x b) n(n + 1) 2 c) 1 d)0 8. The value of lim x→1 (log5 5x) logx 5 is a) 1 b)e c) ―1 d)None of these 9. lim x→0 e tan x―ex tan x ― x = a) 1 b)e c) e ― 1 d)0 Topic :-LIMITS AND DERIVATIVES