# Calculus Examples

Step 1

To determine if the series is convergent, determine if the integral of the sequence is convergent.

Step 2

Write the integral as a limit as approaches .

Step 3

The integral of with respect to is .

Step 4

Step 4.1

Evaluate at and at .

Step 4.2

Remove parentheses.

Step 4.3

Use the quotient property of logarithms, .

Step 5

As log approaches infinity, the value goes to .

Step 6

Since the integral is divergent, the series is divergent.