Find each of the following limits or justify why it does not exist. 1 1 (a)...

 

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Find each of the following limits or justify why it does not exist. 1 1 (a) lim x-0 ex (b) f(x) 1 - X In(sin 3x) x+0+ ln(csc x) Use the limit definition of the derivative to show that: d (a) [x] = 3x4, dx |x+1|-2 1- x (b) lim (c) lim h0 cos x + h - cos h is not differentiable at x = -1. X Find each of the following limits or justify why it does not exist. 1 1 (a) lim x-0 ex (b) f(x) 1 - X In(sin 3x) x+0+ ln(csc x) Use the limit definition of the derivative to show that: d (a) [x] = 3x4, dx |x+1|-2 1- x (b) lim (c) lim h0 cos x + h - cos h is not differentiable at x = -1. X