In the circle in the accompanying figure, a central angleof measure radians subtends a

Chapter 1, Problem 48

(choose chapter or problem)

In the circle in the accompanying figure, a central angle of measure \(\theta\) radians subtends a chord of length \(\mathrm{C}(\theta)\) and a circular arc of length \(s(\theta)\). Based on your intuition, what would you conjecture is the value of \(\lim _{\theta \rightarrow 0+} c(\theta) / \mathrm{s}(\theta)\)? Verify your conjecture by computing the limit.

Equation Transcription:

c()

s()

c()/s()

Text Transcription:        

theta

c(theta)

s(theta)

lim_theta right arrow 0+ c(theta)/s(theta)