Thread: true or false

if neither sequence {Xn} and {Yn} converges then {XnYn} does not converge

i think this is false but am failing to find a counter-example?
and ideas??

Originally Posted by crafty

if neither sequence {Xn} and {Yn} converges then {XnYn} does not converge

i think this is false but am failing to find a counter-example?
and ideas??

how about and ?

or
so

Originally Posted by matheagle

or
so

this was the example i had way in the back of my mind. i was grasping for it, but came up with what i posted earlier.

both work though

Or, how about

and

so .