I have a problem and I can not figure it out,

Let c be a fixed constant, . Then if and only if . In particular, if the last series converges for one value of c, it converges for all values of c.(Thinking)

I appreciate any help.

Printable View

- June 6th 2010, 06:24 AMVeveX integrable
I have a problem and I can not figure it out,

Let c be a fixed constant, . Then if and only if . In particular, if the last series converges for one value of c, it converges for all values of c.(Thinking)

I appreciate any help. - June 6th 2010, 10:52 AMMoo
Hello,

But (counting the number of integers that are less or equal to |X|/c)

and since , you can conclude.

If you think it's not correct, just tell me, because I just wrote this, I don't know if it's a correct proof... - June 6th 2010, 02:42 PMmatheagle
see autumn's work on

http://www.mathhelpforum.com/math-he...nvergence.html