Let p > 0. Consider the following improper integrals. 1. Show that dz converges if and only if p < 1.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 27SE: Prove that bx=exln(b) for positive b1 .
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Let p > 0. Consider the following improper integrals.
da
1. Show that J converges if and only if p < 1.
+00 dx
2. Show that "
converges if and only if p > 1.
Transcribed Image Text:Let p > 0. Consider the following improper integrals. da 1. Show that J converges if and only if p < 1. +00 dx 2. Show that " converges if and only if p > 1.
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