Can I get help with this question step by step? 6-6XFind the limit of f(x)as x approaches co and as x approaches co.42-lim f(x)x+00(Type a simplified fraction.)lim f(x)X 0o(Type a simplified fraction.)

Name: Can I get help with this question step by step? 6-6XFind the limit of
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Description: Can I get help with this question step by step? 6-6XFind the limit of f(x)as x approaches co and as x approaches co.42-lim f(x)x+00(Type a simplified fraction.)lim f(x)X 0o(Type a simplified fraction.)

Find the limit of the function f(x)=(-6+6/x)/(2-4/x2) as x approaches to infinity: So, to calculate…

Answered: 6 -6 X Find the limit of f(x) as x…

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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Can I get help with this question step by step?

6
-6
X
Find the limit of f(x)
as x approaches co and as x approaches co.
4
2-
lim f(x)
x+00
(Type a simplified fraction.)
lim f(x)
X 0o
(Type a simplified fraction.)

Expert Solution

Step 1

Find the limit of the function f(x)=(-6+6/x)/(2-4/x²) as x approaches to infinity:

So, to calculate the limit of the function use the property of the limit as:

lim f(x)
A(x)
(x)
lim f(x)
lim f (x) 0
lim
xa
lim f (x)
xa
xa
xa
xa
6
lim-6
6
-6+
lim
4
2
4
lim 2
2
2
-60
1
2 0
=-3

Step 2

Find the limit of the function f(x)=(-6+6/x)/(2-4/x²) as x approaches to (- infinity):

lim f(x)
A (x)
lim f(x)
lim f (x)= 0
lim
xa
lim f (x
(x)
xa
xa
xa
xa
6
lim 6
6
-6
lim
4
2
4
lim 2
-6 0
2 0
=-3

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