Find the value of the constant `k` so that the given function is continuous at the indicated point: `f(x)={((1-cos2k x)/(x^2), if x!=0 ),(8, if x=0):}` at `x=0`

Explanation

Given,


`f(x)= frac{1-cos 2 k x}{x^{2}}, text { when } x equiv 0 8, text { when } x=0`



`f(0)=8`



If `{f}({x})` is continuous at `{x}=0`, then



`lim _{x -> 0} f(x)=f(0)`
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