Finding a Limit In Section 2.3, a geometric argument (see figure) was used to prove that

Chapter 8, Problem 100

(choose chapter or problem)

Finding a Limit In Section 2.3, a geometric argument (see figure) was used to prove that

\(\lim _{\theta \rightarrow 0} \frac{\sin \theta}{\theta}=1\)

 

(a) Write the area of \(\triangle A B D\) terms of \(\theta\).

(b) Write the area of the shaded region in terms of \(\theta\).

(c) Write the ratio R of the area \(\triangle A B D\) to that of the shaded region.

(d) Find \(\lim _{\theta \rightarrow 0} R\)

Text Transcription:

triangle ABC

theta

lim_theta rightarrow 0 R

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