Find the center, radius of convergence and interval of convergence for the power series sum_{n=1}^{infty} frac{(-1)^n (x - 3)^n}{n^2 cdot 4^n} Center: x = Radius of Convergence: Interval of Convergence (use interval notation):
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The center is the value of x around which the power series is centered. In this case, we can see that the power series is of the form: ∑ (-1)^n (c 3)^n x^(2n) We can rewrite this as: ∑ (-1)^n (c 3)^n (x^2)^n Now we can see that the power series is centered Show more…
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