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

Question

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

amistre64 · Answer

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

anonymous · Answer

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

amistre64 · Answer

thats cool :)

anonymous · Answer

i cannot understand please help me