Verifying Divergence Use the result of Exercise 64 to show that each series diverges. (a) ∑ n = 1 ∞ ( n + 2 ) 2 (b) ∑ n = 1 ∞ ln n n (c) ∑ n = 2 ∞ 1 ln n (d) ∑ n = 1 ∞ e n n
Verifying Divergence Use the result of Exercise 64 to show that each series diverges. (a) ∑ n = 1 ∞ ( n + 2 ) 2 (b) ∑ n = 1 ∞ ln n n (c) ∑ n = 2 ∞ 1 ln n (d) ∑ n = 1 ∞ e n n
Solution Summary: The author explains that if undersetnto 'infty' is a non-negative and divergent series, then the series will also diverge.
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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