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If f(x) = x for x le 0 = 0 for x gt 0...

If `f(x) = x` for `x le 0 = 0 ` for `x gt 0`, then `f(x)` at `x = 0` is

A

Continuous but not dIfferentiable

B

Not continuous but dIfferentiable

C

Continuous and dIfferentiable

D

Not continuous are not dIfferentiable

Text Solution

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The correct Answer is:
A
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