Question: (a) Plot the curve r = 1/ for 0 2. (b) With r as in (a), compute the limits Explain how the

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

(b) With r as in (a), compute the limitslim rcos 8, lim r cos , lim r sin 8, and lim r sin 0. 0 8x+ 0 0+

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?

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

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