Find the interval of convergence of the power series
\sum_{n=1}^{\infty} \frac{n^2 x^n}{3 n^3 + 3}
Interval notation
• An open interval (a, b) should be entered as:
i(o(a), o(b))
• If one (or more ends) of the interval is closed indicate this by using c instead of o, e.g. the interval (a, b] may be entered as:
i(o(a), c(b))
Thus for an interval of (-?, ?7] you would need to enter:
i(o(-infinity), c(sqrt(7)) )
Since, getting the brackets to match when answering this question may be a little tricky, to help you, there is the following template.
i(o(), o())
Grab it with the mouse, paste it in the answer box, fill in each endpoint in the white space of each o (
where you need to.
), and change the os to cs
Answer:
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