Determining Convergence or Divergence In Exercises 27-34, test for convergence or divergence, using each test at least once. Identity which test was used. (a) nth-Term Test (b) Geometric Series Test (c) p-Series Test (d) Telescoping Series Test (e) Integral Test (f) Direct Comparison Test (g) Limit Comparison Test ∑ n = 1 ∞ ( 1 n + 1 − 1 n + 2 )
Determining Convergence or Divergence In Exercises 27-34, test for convergence or divergence, using each test at least once. Identity which test was used. (a) nth-Term Test (b) Geometric Series Test (c) p-Series Test (d) Telescoping Series Test (e) Integral Test (f) Direct Comparison Test (g) Limit Comparison Test ∑ n = 1 ∞ ( 1 n + 1 − 1 n + 2 )
Solution Summary: The author calculates the convergence or divergence of the given series by the use of telescoping test.
Determining Convergence or Divergence In Exercises 27-34, test for convergence or divergence, using each test at least once. Identity which test was used.
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
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