Use the integral test to determine whether the series converges.
-$$\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 2 n - 1 }$$
A) diverges
B) converges

Question

Quizplus · Accepted Answer

The integral test involves integrating the function $f(x) = \frac{1}{2x-1}$ from 1 to infinity. The integral $\int_{1}^{\infty} \frac{1}{2x-1} dx$ results in a logarithmic function that diverges as $x$ approaches infinity, indicating that the original series also diverges.

Use the Integral Test to Determine Whether the Series Converges ∑n=1∞12n−1\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 2 n - 1 }n=1∑∞​2n−11​

Use the Integral Test to Determine Whether the Series Converges $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 2 n - 1 }$