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Let `f(x)` be a function defined as `f(x)={(x^2-1)/(x^2-2|x-1|-1),x!=1 1/2,x=1` Discuss the continuity of the function at `x=1.`

A

The function is continuous for all values of x

B

The function is continuous only for x `gt` 1

C

The function is continuous at x = 1

D

The function is not continuous at x = 1

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The correct Answer is:
D
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