- #1
cal.queen92
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Homework Statement
find the limit as x approaches zero of: (sin(4x))/(tan(3x))
Homework Equations
a law that states : limit as x approaches zero of (sin(theta))/theta = 1
The Attempt at a Solution
I first divide the equation into:
(sin(4x))/1 * (cos(3x))/(sin(3x))
And then use the law mentioned above to multiply and dive by 4x:
(sin(4x))/(4x) * 4x(cos(3x))/(sin(3x))
Then, I divide the equation into:
4x*(cos(3x))/1 * 1/(sin(3x))
Then, I use the law again on cos(3x) this time:
4x* (cos(3x))/3x * 3x/(sin(3x))
And end up with:
4x * 3x/(sin(3x))
That's where I get stuck!
Am I using the right method? If so, where do i go next?
Thank you!