Integral Series Interval Of Convergence

Calculus Level 4

What is the interval of convergence of the series formed by the following integral? limnx4n+2x2+1 dx\lim_{n\rightarrow\infty}\int\dfrac{x^{4n+2}}{x^2+1}\text{ }dx

Details and Assumptions\textbf{Details and Assumptions}

nn is an integer.

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