2016Fall-MATH243-03-Liu.J00770722.HW_Sec_9.3-9.4

# 2016Fall-MATH243-03-Liu.J00770722.HW_Sec_9.3-9.4 - Garry...

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Garry Geslin 2016Fall-MATH243-03-Liu Assignment HW Sec 9.3-9.4 due 09/09/2016 at 11:59pm CDT 1. (1 point) Compute the value of the following improper integral. If it converges, enter its value. Enter infinity if it di- verges to , and -infinity if it diverges to - . Otherwise, enter diverges. Z 1 9 dx x 2 + 1 = Does the series n = 1 9 n 2 + 1 converge or diverge? ? converges diverges to +infinity diverges to -infinity diverges Answer(s) submitted: 9tanˆ-1(1) converges (correct) 2. (1 point) Use the Integral Test to determine whether the infinite series is convergent. n = 1 n - 2 Fill in the corresponding integrand and the value of the improper integral. Enter inf for , -inf for - , and DNE if the limit does not exist. Compare with R 1 dx = By the Integral Test, the infinite series n = 1 n - 2 A. converges B. diverges Answer(s) submitted: 1/(xˆ2) 1 A (correct) 3. (1 point) Match each of the following with the correct statement. C stands for Convergent, D stands for Divergent.

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