MTH 133 Midterm: MTH 133 Midterm 2
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Q1 find the exact arc-length of x = 2. 3 (y2 + 1)3/2 from y = 0 to y = 2. Find the limit if the sequence below converges or state why it diverges. (a) an = 3k2 + 7k ak = (c) an = n(e. Which statements (more than one option) are true about. Xn=1: the sequence an is convergent but the series is divergent. an = e and. Q5 (integral test) test the following series for convergence or divergence by the integral test. Q6 (p-series) which statements (more than one option) are true. Q7 determine whether the following series converge or diverge by (direct/limit) comparison test. (a) Q8 determine whether the following series are absolutely convergent, conditionally convergent, or diver- gent: (a) (1) E (1) and (2) are conditionally convergent. (b) determine whether the following series are absolutely convergent, conditionally convergent, or diver- gent: (1) A (1) is absolutely convergent; (2) is divergent.
