### Home > CALC > Chapter 11 > Lesson 11.1.2 > Problem11-20

11-20.

Consider the infinite series below. For each, decide if it converges or diverges and justify your conclusion. State the test you used.

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

This is a variation of the harmonic series.

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

What is$\lim\limits_{n\to\infty}\ln(n)?$

1. $\displaystyle\sum _ { n = 1 } ^ { \infty } 0.1$

What is $\lim\limits_{n\to\infty}0.1?$

1. $\displaystyle\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 1.01 } }$

This is a $p$-series.