Question

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

Answer 1

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

Answer 2

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

Answer 3

diverges doesn't necessarily mean infinity.

Answer 4

show the contrapositive

if Sum(k*a_n) converges then Sum(a_n) converges.

Answer 5

Sum(k*a_n) converges

so s=Sum(k*a_n) =ksum(a_n)

k not zero

then

sum(a_n)=s/k

Answer 6

ty zarkon

Answer 7

np :)