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 3 If $p(x)$ is a polynomial then $\lim_{k \to \infty}\frac{p(k+1)}{p(k)}=1$ 1 Proving $\int_0^{2\pi} \frac{R^2-r^2}{R^2-2Rrcos(t)+r^2}dt=2\pi$ using complex integration 1 Radius of convergence of the series $\displaystyle\sum_{n=0}^{\infty}n!z^{2n+1}$ [duplicate] 0 $f$ is Holomorphic on an open ball, then the value of integration over the boundary of that open ball is zero. 0 $U$ is convex, $f\in H(U)$ and $|f'(z)-1|<1, \forall z\in U$ then $f$ is one-one function [duplicate]

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 +5 Proving $\int_0^{2\pi} \frac{R^2-r^2}{R^2-2Rrcos(t)+r^2}dt=2\pi$ using complex integration +5 Radius of convergence of the series $\displaystyle\sum_{n=0}^{\infty}n!z^{2n+1}$ +15 If $p(x)$ is a polynomial then $\lim_{k \to \infty}\frac{p(k+1)}{p(k)}=1$

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 0 complex-analysis × 5 0 integration × 2 0 derivatives × 2 0 cauchy-integral-formula 0 sequences-and-series × 2 0 general-topology 0 metric-spaces × 2 0 connectedness 0 complex-integration × 2 0 power-series

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