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Determine the following limits at infinity. f1x2 xSo g1x2 lim if f1x2 S 100,000 and g1x2 S 00 as x S 00 8

Determine the following limits at infinity. f1x2 xSo g1x2 lim if f1x2 S 100,000 and g1x2 S 00 as x S 00 8

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 12E
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Determine the following limits at infinity. f1x2 xSo g1x2 lim if f1x2 S 100,000 and g1x2 S 00 as x S 00 8
Transcribed Image Text:Determine the following limits at infinity. f1x2 xSo g1x2 lim if f1x2 S 100,000 and g1x2 S 00 as x S 00 8
Expert Solution
Step 1

Given information:

The function f(x) approaches 100,000 and g(x) approaches infinity as x approaches infinity.

Calculation:

We need to find limx→∞f(x)g(x).

Now use the definition of division of the limit.

limx→∞f(x)g(x)=limx→∞f(x)limx→∞g(x)=10000limx→∞g(x)→∞    [Given]=0

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