bahrom7893
Zarkon, another series question.. sorry, im blanking out right now.



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bahrom7893
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Show that if Sum(a_n) diverges, and k does not equal 0, then Sum(k*a_n) diverges

bahrom7893
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i mean this is common sense, constant*infinity = infinity..

Zarkon
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diverges doesn't necessarily mean infinity.

Zarkon
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show the contrapositive
if Sum(k*a_n) converges then Sum(a_n) converges.

Zarkon
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Sum(k*a_n) converges
so s=Sum(k*a_n) =ksum(a_n)
k not zero
then
sum(a_n)=s/k

bahrom7893
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ty zarkon

Zarkon
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np :)