Sunday, 28 August 2016

real analysis - Prove that $sum {{a_n}} $ converges iff the sequence of partial sums is bounded where $a_ngeq 0$

Let (${a_n}$) be a sequence of nonnegative real numbers. Prove that $\sum {{a_n}} $ converges iff the sequence of partial sums is bounded.




Uh I don't know how to do this proof. Please help!

No comments:

Post a Comment

real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...