(a) Plot the curve r = 1/ for 0 2. (b) With r as...

(a) Plot the curve r = 1/π−θ for 0 ≤ θ ≤ 2π.

(b) With r as in (a), compute the limits

Explain how the limits in (b) show that the curve approaches a horizontal asymptote as θ approaches π, both from the left and from the right. What is the asymptote?

Transcribed Image Text:

lim rcos 0, lim r cos 0, lim r sin 0, and lim r sin 0. 0→ 8→x+ 0→π 0→π+