Question #e9f07

1 Answer
Dec 10, 2017

First, we know that lim_(x->0) sinx/x=1
and the greatest integer function returns the largest integer less than or equal to x for all real number x, for example, [1]=1, [2.5]=2 and [-2.5]=-3

lim_(x->0) [(sin(2x)/x)]
=lim_(x->0) [(sin(2x)/(2x)*2)]
=[1*2]
=[2]
=2

Here is the answer. Hope it can help you.