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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)={:{((sec^(2)x)^(cot^(2)x)", for " x!=0),(k", for " x=0):}`, then `k=`

A

`1/e`

B

`2/e`

C

e

D

2e

Text Solution

Verified by Experts

The correct Answer is:
C
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