Question: Let a > 0. Show that the series (1 + an)-1 is divergent if 0 < a < 1 and is convergent if a >

Let a > 0. Show that the series ∑(1 + an)-1 is divergent if 0 < a < 1 and is convergent if a > 1.

Step by Step Solution

3.50 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

If 0 a 1 then a n 0 so 11 a n 1 and the series ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

829-C-F-M (447).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!