MAC 2312 Midterm: MAC2312 F11 Test 3
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Write your complete solutions on your answer paper. (1) (15 pts. ) Find the limits: (a) lim x (b) lim x (c) lim x 0+ cos x x2. If it converges, nd the limit. (a) an = (b) an = (c) an = 5n ( 1)nn n + 1 ( 1)n n + 1 (3) (30 pts. ) Evaluate each convergent integral. (a) z 4 (b) z . For the curve c de ned by polar equation r = sin , answer the following. (a) sketch the curve in the xy-plane.
