26. Describe the behavior of each of the following: (a) 5 (b) log x as x>0 as x (c) ln x as x ->co (d) 4" as x ->-co

Calculus: Early Transcendentals
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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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26. Describe the behavior of each of the following:
(a) 5
(b) log x as x>0
as x
(c) ln x as x ->co
(d) 4" as x ->-co
Transcribed Image Text:26. Describe the behavior of each of the following: (a) 5 (b) log x as x>0 as x (c) ln x as x ->co (d) 4" as x ->-co
Expert Solution
Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

Answer(a): As x-> infinity , then 5^-x approaches 0. 

 

lim 5
=500
1
5 00
1
=0
Step 2

We know log 1=0 , when x < 1 then log x is negative number.

As, x-> 0^+ then log x goes to -infinity.

Answer(b): As x->0^+ the graph goes to extrem downwards (towards -infinity)

lim logx
x-0
-0o
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