Use the appropriate test to decide whether the following series converge or not:

a)

b)

c)

d)

Could someone please help :-). Thank you

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- May 23rd 2006, 08:02 AMNatasha1Convergence
Use the appropriate test to decide whether the following series converge or not:

a)

b)

c)

d)

Could someone please help :-). Thank you - May 23rd 2006, 12:49 PMrgep
a) A series does not converge if the terms do not tend to zero. In this series the terms tend to 3/2.

b) A series converges if the absolute value of each term is less than the corresponding term of a series known to converge. In this case compare with the series 2/n^2.

c) A series converges if the ratio of successive terms tends to a limit k which is strictly less than 1. In this case the ratio of successive terms tends to zero.

d) Use one of the previous criteria: left as an exercise which one ...