1. Apply the ratio test to determine whether or not the series converges.\\ $\sum_{n=1}^{\infty} \frac{(-1)^{n-1} 3^n}{2^n n^2}$
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Mathematically, this can be expressed as: lim(n→∞) |(a_(n+1)/a_n)| < 1 where a_n is the nth term of the series. In this case, the series is given by (-1)^n - 1/(3^n). Show more…
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