Question

lim x->0 xsin(1/x)=?

Answer 1

@experimentX ..

Answer 2

0

Answer 3

i know its 0 but why..sin(1/x) would be a finite number?if so then why..

Answer 4

isn't this obvious?
as x->0, sin(1/x) wiggles between -1 and +1
and the x at the front kill it.

Answer 5

oh yeah okay :o

Answer 6

also there's another way to do it.
substitute t=1/x

Answer 7

you can do this by method sin(x)/x .. and not the least .. you can use L'hopital rule.

Answer 8

yeah,i got it

Answer 9

i thought it had got smt to do with sin inverse x and stuff