Q28Comprehension5 Marks2 Apr 2023PassageConsider the function f(x)=e∣x∣f(x)=e^{|x|}f(x)=e∣x∣. Use this information to answer the given subquestions.Which of the following options is/are true?Af(x)f(x)f(x) is differentiable at x=0x=0x=0.Blimx→0f(x)\lim_{x\to0}f(x)limx→0f(x) exists.Cf(x)f(x)f(x) is continuous in its domain.Dlimx→0f′(x)=0\lim_{x\to0}f'(x)=0limx→0f′(x)=0.
