Tiêu đề Limits Exercise ✅

Part B. Test the continuity of the following functions: 1.     0, 0, )( xCosx xCosx xf at x = 0 2.     0,0 0,)/1( )( x xxxCos xf at x = 0 3.     0,1 0, )( /1 x xe xf x at x = 0 4.         0, 0, )( xx xx xf at x = 0 5.          20, 01, )( 2 2 xx xe xf x at x = 0 6.          ax ax axSinax Xf 0 1 )( )( at x = a 7.     00 0,)/1( )( x xxxSin xf at x = 0 8.          2/,)2/(2 2/0,1 0,1 )( 2   xx xSinx x xf at x = 0 and 2/x 9. 1)(xxxf at x = 0 and x = 1 10.           3,0 3, 3 3 )( x x x x xf at x = 3 11.      0,1 0,1 )( /1 x xx xf x at x = 0 12.         0,1 0, 1)(2/1 2 /1 x x e e xfx x at x = 0
Part C. Indeterminate form Evaluate the following: 1. 1 ln lim 1 x x x 2. xSin xSin x 5 2 lim 0 3. x Sinx x lim 4. )11 (lim 0 Sinxxx  5. x x xe lim 6. 20lim x Sinx x 7. )ln(tan )ln( lim 0 x Sinx x 8. 3 1 0 tan lim x xx x    9. xx x xe 1 0 )(lim  10. Cotxx x )(lim   11. x xSin x 2 lim 0 12. Xe x xlim .