Question
Asked Sep 9, 2019

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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.)
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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.)

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check_circleExpert 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
help_outline

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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

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Step 2

Find the limit of the function f(x)=(-6+6/x)/(2-4/x...

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
help_outline

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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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