### Home > CALC > Chapter 11 > Lesson 11.2.4 > Problem11-88

11-88.

Multiple Choice: Which of the series below converges?

1. $\sum _ { n = 1 } ^ { \infty } \frac { 4 } { 2 ^ { n - 1 } }$

1. $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { \operatorname { ln } n + 1 }$

1. $\sum _ { n = 1 } ^ { \infty } \frac { ( n ! ) ^ { 2 } } { ( 2 n ) ! }$

1. I

1. II

1. III

1. I, III

1. I, II, III

Series I is a geometric series. What is the value of $r$?
Compare series II to the harmonic series.
For series III, use the Ratio Test.