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Find k if the function is continuous at ...

Find k if the function is continuous at `x=(pi)/(2)`
if (a) `f(x)={{:((k cos x )/(pi-2x),x ne (pi)/(2)),(3,if x=(pi)/(2)):}` at `x=(pi)/(2)`
(b) f(x)={{:(kx+1, if x le 2),(cos x,if x gt 2):}` at x=2
(c ) if `f(x)={{:(k^(2)x-k,if x le 1),(2 , if x lt 1):}` is continous on R then find the value (s) of k

Text Solution

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The correct Answer is:
k\2,-1
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