(b) \sum_{n=0}^{\infty} \frac{(10)^n x^n}{n!} (c) \sum_{n=0}^{\infty} \frac{(-1)^n (x+1)^n}{\sqrt{n+2}} (d) \sum_{n=1}^{\infty} \frac{(x-2)^n}{n^3}
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