bahrom7893
  • bahrom7893
Zarkon, another series question.. sorry, im blanking out right now.
Mathematics
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SOLVED
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chestercat
  • chestercat
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bahrom7893
  • bahrom7893
Show that if Sum(a_n) diverges, and k does not equal 0, then Sum(k*a_n) diverges
bahrom7893
  • bahrom7893
i mean this is common sense, constant*infinity = infinity..
Zarkon
  • Zarkon
diverges doesn't necessarily mean infinity.

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Zarkon
  • Zarkon
show the contrapositive if Sum(k*a_n) converges then Sum(a_n) converges.
Zarkon
  • Zarkon
Sum(k*a_n) converges so s=Sum(k*a_n) =ksum(a_n) k not zero then sum(a_n)=s/k
bahrom7893
  • bahrom7893
ty zarkon
Zarkon
  • Zarkon
np :)

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