Question

Example of two divergent sequences whose product converges

Answer 1

Two divergent series such that their product is convergent. I faced a series question it goes something like give an example of 2 divergentseries such that when the 2 series are multiplied to each other, the new series becomes convergent, although it looks absurdly simple still am at a loss

Answer 2

To find:

Divergent sequences whose product converges.

Solution:

1) Convergent sequence is the sequence which have a limit a real number.

2) Divergent sequence is the sequence whose limit is tends to infinity.

3) Let the divergent sequences:

1,0,2,0,1,0,3,..........

0,1,0,4,0,1,0..........

4) The product of the above two:

0,0,0,0,0......... (which is a convergent Sequence)