Determine whether an infinite series converges or diverges using the Limit Comparison Test

Limit comparison test

Key Points

The Limit Comparison Test requires a series with a known result to compare to

The comparison series can be deduced from the series to be tested

The Limit Comparison Test is not a convergence or divergence test, it simply tells you whether the two series have the same convergence / divergence result

If the result of the Limit Comparison Test is positive and finite the two series share the same convergence / divergence result

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