Question

How do you evaluate
lim(x->0) sin(9x)/6x?

Answer 1

lim(x->0) sin(x)/x = 1

Answer 2

lim(x->0) sin(9x)/6x
can be rewritten as
9/6 * lim(x->0) sin(9x)/9x

Answer 3

lim(x->0) sin(9x)/6x?
lim(x->0) 9sin(9x)/9(6x)
lim(9x->0) 9sin(9x)/6(9x)
9/6 (lim(9x->0) sin(9x)/9x
9/6

Source: http://www.mathskey.com/question2answer/