How do you compute the limit of (sin(pi*x))/(3x) as x approaches 0?

So far I have factored out 1/3 in front of the limit and that is all.
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2 Answers

limit of (sin(pi*x))/(3x) as x approaches 0

using l'Hôpital's Rule we get

=limit of d/dx(sin(pi*x))/d/dx(3x) as x approaches 0

=limit of pi(cos(pi*x))/(3) as x approaches 0

=pi/3

 

by Level 8 User (32.3k points)
Thank you for your help! That makes sense!
by

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