Word Count : 157

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Consider the series (\sum_{n=1}^{\infty} n^3 x^n) for (x \in \left[-\frac{1}{3}, \frac{1}{3}\right]). To apply the Weierstrass M-test, we need a sequence of constants (M_n) such that (|n^3 ___ _____ __________ _______ __________ _____ __________ ________ _____.
_________ ___ ____ ________ ______.
___ _____ _______ __________ ______ ____ ______.
_________ ______ _______ ____ ___ _______ ___ __________ _______.
___ ___ ________ ______ ______ ______ _____ ___ _________.
________ _____ ____ _________ _________ _____.
__________ __________ ________ _____ _________ ______ _______ __________ _________.
___ _________ __________ _______ ______ ________ ___.
_________ ___ __________ ______ ___ _______ _______ __________ ________ ___ ______ _____.
____ ___ ___ _______ _______ ______ _____ ______ ______ __________.
_________ ________ __________ ______ ____ ______ ______ ____ _______ _______ _____ _________.
______ _________ ______ _________ ___.
_______ _________ _____ ___ ______ ________ ________ ________ ______.
________ _______ _________ ___ _____ _____ _________ _____ _____.
_______ _________ _____ _______ _________ _________ _____ _________ ________ ________.
______ ________ __________.
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