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let f(x)={{:((sqrt(2)cosx-1)/(cotx-1),xn...

let `f(x)={{:((sqrt(2)cosx-1)/(cotx-1),xne(pi)/(4)),(k,x=(pi)/(4)):}`
Find k for which f(x) is continuous

A

`-(1)/(2)`

B

`(1)/(3)`

C

`(1)/(2)`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
C
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