Chapter 7: Q. 9 (page 591)
Give a recursive definition for the sequence of positive integers. (Hint: Let .)
Short Answer
The recursive definition for the sequence iswhere.
Chapter 7: Q. 9 (page 591)
Give a recursive definition for the sequence of positive integers. (Hint: Let .)
The recursive definition for the sequence iswhere.
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Explain why the integral test may be used to analyze the given series and then use the test to determine whether the series converges or diverges.
Explain why the integral test may be used to analyze the given series and then use the test to determine whether the series converges or diverges.
Prove Theorem 7.25. That is, show that the series either both converge or both diverge. In addition, show that if converges to L, thenconverges tolocalid="1652718360109"
Given thatand, find the value of.
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