For real number p, let f and g be defined by f(x) =e=*³ and g(x) = 1/x", respectively, on [1,00). р, f(x) = 0 for all p E R. g(x) (a) Show that lim X00

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Q1(a)
Question 1
For real number p, let f and g be defined by f(x) =e-³ and g(x) = 1/xP, respectively,
on [1,0).
f(x)
= 0 for all p ER.
° g(x)
(a)
Show that lim
(b)
Explain why the integral . ex*dx is convergent.
Transcribed Image Text:Question 1 For real number p, let f and g be defined by f(x) =e-³ and g(x) = 1/xP, respectively, on [1,0). f(x) = 0 for all p ER. ° g(x) (a) Show that lim (b) Explain why the integral . ex*dx is convergent.
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