limit as theta approaches zero of sin(6theta)/(theta+tan(4theta))

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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I need to find the limit as theta approaches zero of sin(6theta)/(theta+tan(4theta)). I'm stumped on multiplying the numerator and the denominator by 1/6theta because I am only able to turn the sine in the numerator into one and not the sine in the denominator.

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