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If f(x) is continuous at x=0, where f(x...

If `f(x)` is continuous at `x=0`, where `f(x)={:{((cos^(2)x-sin^(2)x-1)/(sqrt(x^(2)+1)-1)", for " x!=0),(2k", for " x=0):}`, then `k=`

A

-2

B

-4

C

2

D

None of these

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The correct Answer is:
A
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