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Question Number 112501 by I want to learn more last updated on 08/Sep/20

Find the radius of convergent of the power series:   Σ_(n  =  1) ^∞ (((n  +  2)/n))^n^2  x^n

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{convergent}\:\mathrm{of}\:\mathrm{the}\:\mathrm{power}\:\mathrm{series}:\:\:\:\underset{\mathrm{n}\:\:=\:\:\mathrm{1}} {\overset{\infty} {\sum}}\left(\frac{\mathrm{n}\:\:+\:\:\mathrm{2}}{\mathrm{n}}\right)^{\mathrm{n}^{\mathrm{2}} } \mathrm{x}^{\mathrm{n}} \\ $$

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