by Weierstrass sequence is not selected, the derivative at 0 is not drawn, I do not know
$\sum e^{-n\tan(x)}, 0 < x < \pi/2$
Investigate for uniform convergence $\sum e^{-n\tan(x)}, 0 < x < \pi/2$
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sequences-and-series
1 Answers
1
Hint: $\exp(-n\tan(x))=(\exp(-\tan(x)))^n$, substituting $u=\exp(-\tan(x))$ gives geometric series, which is convergent for $|u|<1$.