Question

what is lim h tends to 0 hcos(1/h) ?

Answer 1

This has no definite limit. It goes to infinity.

Answer 2

but why?

Answer 3

cos(1/0) has any value between -1 to 1 no?
then any value between -1 to 1 * 0 should equal to 0 no?

Answer 4

yes you are right cos(infinity) have value between -1 and 1 so its 0

Answer 5

so \[\lim h \rightarrow0 hcos1/h \] will be 0 na?

Answer 6

yup \[\lim(hcos(\frac{ 1 }{ h }))\] when h->0 is 0

Answer 7

thanks :-)

Answer 8

no problem