Question

Radius and Interval of Convergence of a Power Series. Determine the radius and interval of convergence for the series sum_{n=0}^{infty} frac{(3x - 2)^n}{n}. We begin by applying the Ratio Test to the series sum |u_n|, where u_n is the nth term of the power series in question and find that, ho = lim_{n oinfty} left| frac{u_{n+1}}{u_n} ight| = lim_{n oinfty}. Note: type a simplified ratio in terms of x and n, then evaluate the limit above. Based on the results above, we conclude that the series converges on the interval. Note: type either an interval or a single value into the answer blank next to the drop down menu. Therefore, the radius of convergence of the power series is R =. Note: You can earn partial credit on this problem.

          Radius and Interval of Convergence of a Power Series. Determine the radius and interval of convergence for the series sum_{n=0}^{infty} frac{(3x - 2)^n}{n}. We begin by applying the Ratio Test to the series sum |u_n|, where u_n is the nth term of the power series in question and find that, 
ho = lim_{n	oinfty} left| frac{u_{n+1}}{u_n} 
ight| = lim_{n	oinfty}. Note: type a simplified ratio in terms of x and n, then evaluate the limit above. Based on the results above, we conclude that the series converges on the interval. Note: type either an interval or a single value into the answer blank next to the drop down menu. Therefore, the radius of convergence of the power series is R =. Note: You can earn partial credit on this problem.

$Radius and Interval of Convergence of a Power Series. Determine the radius and interval of convergence for the series sumn=0^infty frac(3x - 2)^nn. We begin by applying the Ratio Test to the series sum |un|, where un is the nth term of the power series in question and find that, ho = limn oinfty left| fracun+1un ight| = limn oinfty. Note: type a simplified ratio in terms of x and n, then evaluate the limit above. Based on the results above, we conclude that the series converges on the interval. Note: type either an interval or a single value into the answer blank next to the drop down menu. Therefore, the radius of convergence of the power series is R =. Note: You can earn partial credit on this problem.$

Added by Jose Carlos C.

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