Does the series from 0 to infinity of 10/(k^2+9) converge or diverge using the integral test?

Q: Use the to Series integral test whe ther the de termine -15 convergent or divergent n.Ln(n) n=2

A: The given series is ∑n=2∞5n.lnn

Q: What is the power series representation of (1-cos(x^2))/x^2?

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Q: n(n-1)c,x"-2 +x? > 3cx" as a single power series with the Rewrite n=2 n=0 general term containing…

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Q: Are there cmy value g fer which converges.

A: Givens equence is, ∑n=1∞1nx We know that , the p-series ∑n=1∞1np=11p+12p+13p+....+1np+... Converges…

Q: Give a power series representation for the following tanh^-1 x

A: We have given that , fx = tanh-1x We need to find Power series expansion of fx. We know that ,…