Question 1 [15 marks] Provide all necessary steps to find the limit of the following functions:
(a) lim┬(x→0)〖cscx-cotx 〗
(b) lim┬(x→0^+ )(1/x-1/tan^(-1)x )
(c) lim┬(x→∞)〖(1+a/x)^bx 〗
(d) (2-x)^tan(πx/2)
(e) (lim)┬(x→∞)〖(e^4x-1-4x)/x^2 〗
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