4. A sequence (Im) is said to oscillate if lim inf r, < lim sup rp. Prove or disprove the following. (a) Every oscillating sequence diverges. (b) Every divergent sequence oscillates. (c) Every oscillating sequence has a convergent subsequence. 5. Prove or disprove: If (r„) and (yn) are subsequences of each other, then r, = Yn-
4. A sequence (Im) is said to oscillate if lim inf r, < lim sup rp. Prove or disprove the following. (a) Every oscillating sequence diverges. (b) Every divergent sequence oscillates. (c) Every oscillating sequence has a convergent subsequence. 5. Prove or disprove: If (r„) and (yn) are subsequences of each other, then r, = Yn-
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 63SE: Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do...
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I need help with #4 and #5. Thank you.
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