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Let fx limx fty sumr0n frac tanx2r1 tan2x2r11 tan2x2r1 Then : null (Mathematics) | DivineJEE

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Mathematics

Exam

Mathematics

Let

f(x) = \lim_{x \to \infty} \sum_{r=0}^{n} \left(\frac{\tan(x/2^{r+1}) + \tan^2(x/2^{r+1})}{1 - \tan^2(x/2^{r+1})}\right)

. Then

\lim_{x \to 0} \frac{x - e^{-f(x)}}{x - f(x)}

is equal to

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