dx Show that the integral (p is a positive constant) converges if and only 2x (Inx if p>1. Let a, =, if n is a prime number %3D 2" otherwise. 27

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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II.
dx
a) Show that the integral
2x (Inx) > (P is a positive constant) converges if and only
if p> 1.
b) Let a, =
72
n, if n is a prime number
n , otherwise.
Does an converges? Give reasons for your answers.
(5,5)
Transcribed Image Text:II. dx a) Show that the integral 2x (Inx) > (P is a positive constant) converges if and only if p> 1. b) Let a, = 72 n, if n is a prime number n , otherwise. Does an converges? Give reasons for your answers. (5,5)
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