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

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bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.2Show that if Sum(a_n) diverges, and k does not equal 0, then Sum(k*a_n) diverges

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.2i mean this is common sense, constant*infinity = infinity..

Zarkon
 4 years ago
Best ResponseYou've already chosen the best response.3diverges doesn't necessarily mean infinity.

Zarkon
 4 years ago
Best ResponseYou've already chosen the best response.3show the contrapositive if Sum(k*a_n) converges then Sum(a_n) converges.

Zarkon
 4 years ago
Best ResponseYou've already chosen the best response.3Sum(k*a_n) converges so s=Sum(k*a_n) =ksum(a_n) k not zero then sum(a_n)=s/k
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