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The function f(x)=e^(-|x|) is...

The function `f(x)=e^(-|x|)` is

A

continuous everywhere but not differentiable at x=0

B

continuous and differentiable everywhere

C

not continuous at x=0

D

None of above

Text Solution

Verified by Experts

The correct Answer is:
A
It is clear from the figure that f(x) is continuous everywhere and not differetiable at x=0 due to sharp edge.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 07-PAPER 2( MATHEMATICS)
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