Calculus Examples Sequences and Series

Determine if the Series is Divergent

Step 1
The series is divergent if the limit of the sequence as approaches does not exist or is not equal to .
Step 2
Since its numerator approaches a real number while its denominator is unbounded, the fraction approaches .
Step 3
The test is inconclusive because the limit is .
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Sequences and Series

More step-by-step Calculus examples from this chapter.

Arithmetic Sequences/Progressions Geometric Sequences/Progressions Finding the Next Term of the Sequence Finding the nth Term Given a List of Numbers Finding the nth Term Finding the Sum of First n Terms Expanding Series Notation Finding the Sum of the Series Finding the Sum of the Infinite Geometric Series Using the Integral Test for Convergence Determining if an Infinite Series is Convergent Using Cauchy's Root Test

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