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Question

Real Analysis Question on Sequences and Series

Let r be the radius of convergence of the power series
13+x5+x232+x352+x433+x553+x634+x754+...\frac{1}{3}+\frac{x}{5}+\frac{x^2}{3^2}+\frac{x^3}{5^2}+\frac{x^4}{3^3}+\frac{x^5}{5^3}+\frac{x^6}{3^4}+\frac{x^7}{5^4}+...
Then the value of r2 is equal to _________. (Rounded off to two decimal places)

Answer

The correct answer is : 3.