The Test for Divergence, Showing a Series Diverges #maths #calculus #series #datascience #limits

In this video I use the test for divergence to show that a series diverges.
Recall that the if the limit of the sequence as n goes to infinity is NOT zero, the series diverges. Note that we can say nothing about whether the series converges or diverges if the limit is equal to zero.
This is just one quick example involving a rational function so that we can find the limit by taking the ratio leading coefficients.