is the limit as x approaches 0 of sin3x over 3x equal to zero?

Question

thank you!

Answer 1

do you mean?
(sin3x)/3x

hint: L'Hopital's Rule

take the derivative of the numerator and denominator
& then plug in zero

Answer 2

sorry--
basically

lim [sin 3x / 4x)
x-> 0

i multiplied& eventually got to
.75* lim (sin 3x / 3x)
x-> 0

so i figured since (lim (sinx/x)
x-> 0
was equal to zero, then

lim (sin3x/ 3x) also equaled 0
x-> 0

is that right? thank you

Answer 3

take the derivative of the numerator and denominator individually.

then, plug in zero for x.

sin3x
hint: chain rule