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A function is defined as f(x) = {{:(e^(x...

A function is defined as `f(x) = {{:(e^(x)",",x le 0),(|x-1|",",x gt 0):}`, then f(x) is(a) continuous at x = 0 ,(b) continuous at x = 1 (c)differentiable at x = 0

A

continuous at x = 0

B

continuous at x = 1

C

differentiable at x = 0

D

differentiable at x = 1

Text Solution

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The correct Answer is:
A, B
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