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CalculusQ&A LibraryFor the series below, (a) find the series' radius and interval of convergence. For what values of x does the series converge (b) absolutely, (c) conditionally?nn4"n 1(a) The radius of convergence is(Type an integer or a fraction.)Determine the interval of convergence. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The interval of convergence is(Type a compound inequality. Use integers or fractions for any numbers in the expression.)B. The series converges only at x =(Type an integeror a fraction.)C. The series converges for all values of x(b) For what values of x does the series converge absolutely?Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The series converges absolutely for(Type a compound inequality. Use integers or fractions for any numbers in the expression.)B. The series converges absolutely at x=(Type an integer or a fraction.)C. The series converges absolutely for all values of x.(c) For what values of x does the series converge conditionally?Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The series converges conditionally for(Type a compound inequality. Use integers or fractions for any numbers in the expression.)Question

Asked Aug 12, 2019

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Please help me about this.

Step 1

The radius of convergence is 4 which can be computed as follows.

Step 2

Since the radius of convergence is 4, the given series is converges in the interval -4 < *x* < 4. Substitute *x =* 4 and -4 in the series to check the convergence in the boundaries.

Step 3

Using the above results to check the convergence...

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