explain-in-your-own-words-the-meaning-of-each-of-the-following-a-displaystyle-lim_x-to-infty-fx-5-b-

Question

Explain in your own words the meaning of each of the following.

(a) $ \displaystyle \lim_{x 	o \infty} f(x) = 5 $
(b) $ \displaystyle \lim_{x 	o - \infty} f(x) = 3 $

Daniel Jaimes · Accepted Answer

this problem One of this tour calculus eighth edition section two point six Explain in your own words the meaning of each of the following party we have the limit is shown. Limited&#x27;s expert is infinity of f of X is equal to five ah in words. We can explain this limit as the function out be the behavior of the function of as X is piecing Lee larger as it tends towards infinity that this function acts will approach value five but never reached the value five. So again, as we tend towards positive infinity the function f behaves such that it will approach five but never for part b. The limited specs approaches negative infinity of every lex is equal to three. This is similar in that the behavior the function have as X approaches negative infinity. So as we decrease our increase negatively towards negative infinity, the function itself will three but never reach three

Problem

(a) Can the graph of $y=f(x)$ intersect a vertica…

Problem 1 Easy Difficulty

Explain in your own words the meaning of each of the following.

(a) $ \displaystyle \lim_{x \to \infty} f(x) = 5 $
(b) $ \displaystyle \lim_{x \to - \infty} f(x) = 3 $

Answer

(a) As $x$ becomes large, the values of $f(x)$ approach 5
(b) As $x$ becomes large negative, the values of $f(x)$ approach 3

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Video Transcript

Calculus: Early Transcendentals

Grace H.

Kayleah T.

Caleb E.

Joseph L.

Precalculus Review - Intro

Functions on the Real Line - Overview

(a) As $x$ becomes large, the values of $f(x)$ approach 5(b) As $x$ becomes large negative, the values of $f(x)$ approach 3

Calculus: Early Transcendentals

Grace H.

Kayleah T.

Caleb E.

Joseph L.

Precalculus Review - Intro

Functions on the Real Line - Overview

Grace H.

Kayleah T.

Caleb E.

Joseph L.

(a) As $x$ becomes large, the values of $f(x)$ approach 5
(b) As $x$ becomes large negative, the values of $f(x)$ approach 3