Asked by APpreciative student

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

thank you!
Answered by TutorCat
do you mean?
(sin3x)/3x

hint: L'Hopital's Rule

take the derivative of the numerator and denominator
& then plug in zero
Answered by APpreciative student
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
Answered by TutorCat
take the derivative of the numerator and denominator individually.

then, plug in zero for x.

sin3x
hint: chain rule
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