Question

find limit to infinity

4x sin (1/x)

Answer is 4

Answer 1

multiply by (1/x)/(1/x)

Answer 2

Or define y=1/x where y tends to 0, and you get the basic limit of (sin x)/x

Answer 3

"Or"

Answer 4

Can you please show me how to do it?

Answer 5

that is it, there is nothing else, it is know that lim when y -> 0 of (sin x)/x is 1: look at the picture.