Calculus III

Test I – Review Sheet

Summer 2006

Determine whether the following geometric series converge or diverge. If the series converges, give its sum.

Determine whether the series below converge or diverge. Justify each of your answers by using one of the following convergence tests: Integral, P-series test, Comparison Test, Limit comparison Test, Ratio Test, or the Root Test.

Determine whether the following alternating series converge absolutely, converge conditionally, , or both, or whether they diverge, by showing whether they do or do not satisfy the criteria of the alternating series test.

Determine all values of x for which the three power series below converge.