Fx-x21-cos2x for x- 0 and f0-k- If fx is continuos at x-0 then find k-

f(x)=x^2(1 cos(2x))=x^2× 2sin ^2(22x)=2x^2sin ^2(1x) f(x)= 2sin #160; #160;^ 2 ( 1 x #160; ) #160; ( 1 x #160; ) ^ 2 #160; So, ...

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Theorems for Continuity

fx=x21-cos2x ...

Question

$f (x) = x^{2} (1 - cos (\frac{2}{x}))$ for $x \neq 0$ and $f (0) = k$ . If $f (x)$ is continuos at $x = 0$ then find $k$ .

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