Question: (1) Let f(x) = 1ex e x1 . Compute: limx0 f(x). (2) Suppose limx0 f(x) = 5 and limx0 g(x) = 2 Compute limx0 3f(x)

(1) Let f(x) = 1ex e x1 . Compute: limx0 f(x).

(2) Suppose limx0 f(x) = 5 and limx0 g(x) = 2 Compute limx0 3f(x) + 5g(x)

(3) Compute and show all work: limx 4x 2 3x + 4 x 5 1

(4) Compute lim + 2 sin()

(5) f(x) = ( x 3 if x < 0 x + 5 if x 0 Graph this function and determine if it is continuous at x = 0. Explain.

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