Monday 14 March 2016

real analysis - Sum of $ 1+frac{1}{4}+frac{1}{9}+frac{1}{16}+.....$

I know that the series b. converges as $\sum \frac{1}{n^p}$ converges for $p>1$, So a. also converges. I want to know the sum.





a.$1+\frac{1}{9}+\frac{1}{25}+\frac{1}{49}+.....$




$b.1+\frac{1}{4}+\frac{1}{9}+\frac{1}{16}+.....$



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