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For this reason, we propose to all users of this driver software has an upgraded version of the software. Driver Doctor Pro Crack and PC Suite 2018 + Crack license key [Windows]. Get all the latest news and buzz from your favorite tweens in pop culture, by the best online news publications, Entertainment.. IObit Driver Booster Pro Crack/ 1.23 ~ 1.28 Crack Free Registered version is the ultimate and powerful tool for Microsoft windows, download it and enjoy it at: online driver repair center.Q:
Convergence of the integral $\int_0^{1/n} \frac{(1-x)^n}{1+x^n}$
The following sum is apparently infinite:
$$\int_0^{1/n} \frac{(1-x)^n}{1+x^n}$$
Is this correct?
A:
We have
$$\frac{1-x^n}{1+x^n} = \frac{1}{1+x^n}-\frac{x^n}{1+x^n} =\frac{1}{1+x^n}-\frac{1}{1+x} = \frac{1}{(1+x)(1+x^{n-1})}$$
hence
$$\int_0^{1/n} \frac{(1-x)^n}{1+x^n} = \int_0^{1/n}\frac{1}{(1+x)(1+x^{n-1})}\,dx = \int_0^1\frac{1}{(1+x)(1+x^{n-1})}\,dx$$
and the integral is convergent since
$$\left|\frac{1}{(1+x)(1+x^{n-1})}\right|\le\frac{1}{1+|x|+|x^{n-1
4.9
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