1.

Evaluate the geometric series or state that it diverges. E (0.3) k=0 Select the correct choice and fill in any answer boxes in your choice below. OA. E (0. 3) = k=0 (Type an integer or a simplified fraction.) O B. The series diverges.Evaluate the geometric series or state that it diverges. 1+ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series evaluates to O B. The series diverges.For the following telescoping series, find a formula for the nth term of the sequence of partial sums {S,). Then evaluate lim S, to obtain the value of the series or state that the series diverges. 1-+00 00 8 8 k K + 1 k =1 Sn =]For the following telescoping series, find a formula for the nth term of the sequence of partial sums {S,]. Then evaluate lim S, to obtain the value of the series or state that the series diverges. n-+co i M 8 (k + 12)(k + 13) A formula for the nth term of the sequence of partial sums is S, =]Evaluate the series or state that it diverges. k - 4) k + 1 k = 1 Select the correct choice and fill in any answer boxes in your choice below. O A. The series evaluates to O B. The series diverges.Use the Integral Test to determine the convergence or divergence of the following series. or state that the test does not apply. '1\" r Ii = 2 kl: In k )2 Select the correct choice below and. ifnecessarv. fill in the answer box to complete the choice. [J rift. T The series converges. The value of the integral Tde is 2 XII: In x]: [Type an exact answer} [:1 E, T The series diverges. The value of the integral T 2 Cl): is 2 xln x] (Type an exact answer} [:1 C. The Integral Test does not apply. I Evaluate the geometric series or state that it diverges. 100 14 K=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. K=0 O B. The series diverges