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Calculus: Early Transcendental Fun...

6th Edition
Ron Larson + 1 other
ISBN: 9781285774770

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Section
BuyFindarrow_forward

Calculus: Early Transcendental Fun...

6th Edition
Ron Larson + 1 other
ISBN: 9781285774770
Textbook Problem

Estimating a Limit Consider the function

f ( x ) = ( 1 + x ) 1 / x

Estimate

lim x 0 ( 1 + x ) 1 / x

by evaluating f at x-values near 0. Sketch the graph of f.

To determine

To Graph: Sketch the graph of the limit of the function f(x)=(1+x)1/x

Explanation

X

-0.1

-0.01

-0.001

0.001

0.01

0.1

f(x)

2.867972

2.73199

2.719642

2.716942

2.704814

2.593741

From the above table and graph, we could say that the value of the limit is 2.72. This is because f(x) approaches a unique value as X approaches 0 from either right or left.

Given: Function: f(x)=(1+x)1/x

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