   Chapter 2, Problem 8CRQ

Chapter
Section
Textbook Problem

Fill in the blanks.8. a. The statement lim x → ∞ f(x) = L means that f(x) can be made arbitrarily close to __________ by taking __________ large enough.b. The statement lim x → ∞ f(x) = M means that f(x) can be made arbitrarily close to ______ by taking x to be __________ and sufficiently large in ________ value.

(a)

To determine

To fill: The statement limxf(x)=L means that f(x) can be made arbitrarily close to ___ by taking ___ large enough.

Explanation

If the function f(x) can be made arbitrarily close to L by taking x large enough, then the function f has the limit L as x approaches infinity is written as, limxf(x)=L .

For example,

The function is g(x)={1ifx<01 </

(b)

To determine

To fill: The statement limxf(x)=M means that f(x) can be made arbitrarily close to ____ by taking x to be ______ and sufficiently large in _____ value.

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