Find the values of k so that the function f is continuous at the indicated point in`f(x)={{:(k x+1, ifxlt=pi),( cosx , ifx >pi):}` at `x =pi`

Explanation

Given that the function is cont. at `x=pi`

`f` is cont. at `x=pi`

if LHL=RHL=`f(pi)`

i.e. `lim_(xrarrpi^-)f(x)=lim_(xrarrpi^+)f(x)=f(pi)`


LHL at `x->pi`

`lim_(xrarrpi^-)f(x)=lim_(hrarr0)f(pi-h)`

`=lim_(hrarr0)k(pi-h)+1`

`=k(pi-0)+1`

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