Question

In order that the function f(x) = (x + 1)^{cot x} is continuous at x = 0, f(0) must be defined as

(A) f(0) = 1/e

(B) f(0) = 0

(C) f(0) = e

(D) None of these

Answer 1

Answer is (C) f(0) = e

For continuity at x = 0, we must have