Science:Math Exam Resources/Courses/MATH101/April 2015/Question 02 (c) (iv)
• Q1 (a) • Q1 (b) (i) • Q1 (b) (ii) • Q1 (b) (iii) • Q1 (c) • Q1 (d) • Q2 (a) • Q2 (b) • Q2 (c) (i) • Q2 (c) (ii) • Q2 (c) (iii) • Q2 (c) (iv) • Q3 (a) • Q3 (b) • Q4 (a) • Q4 (b) • Q5 (a) • Q5 (b) • Q6 (a) • Q6 (b) • Q7 (a) • Q7 (b) • Q8 (a) • Q8 (b) • Q9 (a) • Q9 (b) • Q10 (a) • Q10 (b) • Q11 (a) • Q11 (b) •
Question 02 (c) (iv) |
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For each of the following series, choose the appropriate statement. (Write the appropriate two-letter answer in each box; each answer will be used at most once.) CI: Converges by Integral Test with CT: Converges by Test for Divergence CC: Converges by Comparison Test with CA: Converges by Alternating Series Test CL: Converges by Limit Comparison Test with DI: Diverges by Integral Test with DT: Diverges by Test for Divergence DC: Diverges by Comparison Test with DA: Diverges by Alternating Series Test DL: Diverges by Limit Comparison Test with (iv) |
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Hint |
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Note that . |
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Solution |
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Please rate my easiness! It's quick and helps everyone guide their studies. Note that for and . Applying Limit Comparison Test for and , and the convergence of implies that Therefore the answer is CL. |