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Find the values of k for which f(x)={(1-...

Find the values of `k` for which `f(x)={(1-cos4x)/(8x^2),\ \ \ w h e n\ x!=0k ,\ \ \ w h e n\ x=0` is continuous at `x=0` .

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Given,

`f(x)=frac{1-cos 4 x}{8 x^{2}}, & text { when } x equiv 0 k, & text { when } x=0`

`f(0)=k`

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

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