calculus
posted by sarah .
true or false:
if the sum from n=1 to infinity of a(n) converges, and the sum from n=1 to infinity of b(n) diverges, then the series from n=1 to infinity of (a(n)*b(n)) diverges
i said this was true... is this correct?

I don't know.
What if
An = 1/x^5
and Bn = x^2
then An*Bn = 1/x^3
Respond to this Question
Similar Questions

calculus
TRUE OR FALSE 1. if the lim as n>infinity of a(sub n)=0, then the sum from n=1 to infinity of a(sub n) converges i said this was true because I know that if a (sub n) does NOT=0, it diverges 2. if the sum from n=1 to infinity of … 
calculus
determine whether the series is convergent if so find sum: the sum of x=3 to infinity of (k+1)^2/((x1)(x2)) is it infinity meaning it diverges? 
calculus
true of false if the sum of asubn from n=1 to infinity converges, and if a is not equal to 0, the the sum of 1/(a sub n) as n goes from 1 to infinity diverges. 
calculus
true of false if the sum of asubn from n=1 to infinity converges, and if a is not equal to 0, the the sum of 1/(a sub n) as n goes from 1 to infinity diverges. 
Calculus
The problem with these two questions is that I cannot determine the a and r. The 3rd questionI don't know what I did wrong. Thanks for the help! Tell whether the series converges or diverges. If it converges, give its sum. infinity … 
calculus
determine whether the series converges of diverges the sum from k=2 to infinity of (the square root of (ln(k)))/k I said that because you can't integrate the series (goes to infinity) it diverges 
calculus
determine whether the series converges of diverges the sum from n=1 to infinity of 1/(the square root of (n^3+1)) I said that through the comparision test (comparing to 1/the square root of (n^3) the series converges is this true? 
calculus
determine whether the series converges of diverges the sum from k=2 to infinity of (the square root of (ln(k)))/k I said that because you can't integrate the series (goes to infinity) it diverges is this true? 
Calculus
Determine convergence or divergence for the following series. State the tests used and justify your answers. Sum (infinity, n=1) 1/(1+e^n) Sum (infinity, n=1) (2*4*6...2n)/n! Sum (infinity, n=0) (n6)/n Sum (infinity, n=0) (n6)/n! … 
Mathematics
State whether this infinite series converges or diverges?