Question

if a_n is a convergent series ,then is a^2 _n always convergent?
give example

Answer 1

but this is not a counterexample i don't think because we are to assume that
\[lim_{n\rightarrow \infty}a_n=L\]

Answer 2

still the answer is no, because the first series could alternate but the next one would have only positive terms. i will see if i can think up a counterexample

Answer 3

Ah I see where I misread the question. I will try to come up with a better example.

Answer 4

i gotta practice my series .. just havent had the gumption to sit down and read it

Answer 5

hello guru! (you can call me master now!)

Answer 6

thats cool :)

Answer 7

i cannot understand please help me