nt #3 (Chapter 10) Question 29, 10.3.3 HW Score: Points Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied 7 n-1 0 +25 Select the correct choice below and, if necessary, fill in the answer box to complete your choice 7 O A. The series converges because dx = 2 1 X + 25 (Type an exact answer.) 7 O B. The series diverges because dy = x + 25 (Type an exact answer.) O C. The Integral Test cannot be used since one or more of the conditions for the Integral Test is not satisfiednt #3 (Chapter 10) Question 44, 10.7.7 Part 1 of 4 (a) Find the series' radius and interval of convergence. Find the values of x for which the series converges (b) absolutely and (c) conditionally. nx 0=0 n+6 (a) The radius of convergence is ]. (Simplify your answer.) 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. Simplify your answer. Use integers or fractions for any numbers in the expression.) O B. The series converges only at x = . (Type an integer or a simplified fraction.) X 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. Simplify your answer. Use integers or fractions for any numbers in the expression.) J B. The series converges absolutely at x= . (Type an integer or a simplified fraction.) O 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. * A. The series converges conditionally for Type a compound inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) *B. The series converges conditionally at x= . Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O C. There are no values of x for which the series converges conditionally.ent #3 (Chapter 10) Question 45, 10.7.15 Part 1 of 4 (a) Find the series radius and interval of convergence. Find the values of x for which the series converges (b) absolutely and (c) conditionally. n=0 +11 [a) The radius of convergence is . (Simplify your answer.) 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 J. (Type a compound inequality. Simplify your answer, Use integers or fractions for any numbers in the expression.) O B. The series converges only at x= . (Type an integer or a simplified fraction.) X 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. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The series converges absolutely at x= . (Type an integer or a simplified fraction.) O 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. X A. The series converges conditionally for (Type a compound inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) *B. The series converges conditionally at x= (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O C. There are no values of x for which the series converges conditionally