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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Formulate a precise definition of

lim x f ( x ) =

Then use your definition to prove that

lim x ( 1 + x 3 ) =

To determine

To prove: The value of. limx(1+x3)=.

Explanation

Definition:

Let f be a function defined on some interval (,a).

Then limxf(x)= means that for any number M(<0) there is a corresponding number N(<0) such that if x<N then f(x)<M.

Graph:

Proof:

Let the function f(x)=1+x3

Let 1+x13=M

1+x13=Mx13=M1x1=(M1)

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