   Chapter 3.4, Problem 74E

Chapter
Section
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:

limx-(1+x3)=- using definition limx-f(x)=-

Explanation

Let f be a function defined on an interval -, a then limx-fx=- means that there is a corresponding number N such that if x<N then f(x)<M

Now from this definition prove that limx-(1+x3)=-

Let x<N  therefore x3<N31+x3<

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