Question #8b406
4 Answers
Explanation:
This limit is in the form
So, find the derivatives of the numerator and denominator separately:
Then,
We can verify this limit with a graph:
graph{sin(pix)/sin(3pix) [-5,5,-2.5,2,5]}
Explanation:
We have the
We have,
because
NOTE:
To find the limit without l'Hospital's Rule see below.
Explanation:
As
(This makes
We seek
Use the sum formula for sine to get
Our limit becomes:
# = 1/3(1)(1)#
(using the trigonometric limit
Explanation:
Here, we seek for the Solution without using the L'Hospital's Rule.
Prerequisite :
Let,