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!

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