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# For wht values of p does converge ISBN: 9780321570567 2

## Solution for problem 4E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Problem 4E

For wht values of p does converge?

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Problem 4EFor what values of p does convergeAnswer;Step-1; Definition ; The partial sum of the series is given by = + ++..............+ . If the sequence of these partial sums {Sn} converges to L, then the sum of the series converges to L. If {Sn} diverges, then the sum of the series diverges. = is convergent . Conversely , a series is divergent if the sequence of partial sums is divergent. If and are convergent series , then + ) and - ) are convergent . If C , then is convergent series.NOTE : The terms grow without bound , so the sequence does not converge. Integral test ; The series can be compared to an integral to establish convergence or divergence. Let f(n) = be a positive monotone decreasing function . If f(x) dx = f(x) dx < , then the series converges. But if the integral diverges, then the series does so as well.Step-2 Now , we have to evaluate for what values of p does dx converges. The P- integrals Consider the function f(x) = (where p> 0) for all xLooking at this function closely we see that f(x) presents an improper behaviour...

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##### ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: converge, values, wht. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “For wht values of p does converge?” is broken down into a number of easy to follow steps, and 7 words. The full step-by-step solution to problem: 4E from chapter: 7.7 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 4E from 7.7 chapter was answered, more than 281 students have viewed the full step-by-step answer.

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