💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Formal Definition of Limit Given the limit

$\lim _{x \rightarrow 2}(2 x+1)=5$use a sketch to show the meaning of the phrase$$" 0<|x-2|<0.25$ implies $|(2 x+1)-5|<0.5"$$

See step for solution

Calculus 1 / AB

Chapter 1

Limits and Their Properties

Section 2

Finding Limits Graphically and Numerically

Limits

Missouri State University

Campbell University

Harvey Mudd College

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:40

Use formal definitions to …

01:05

Evaluate the indicated lim…

02:10

Limits at Infinity Find th…

01:23

Evaluate the limits using …

00:42

02:02

$$\begin{aligned}&…

00:43

Evaluate the following lim…

02:21

Find the limits$$\lim …

00:20

Find the limits.$$\lim…

Find the limit if it exist…

you're given a falling limit as X approaches to of two X plus one is equal to five and you are to create a sketch of a graph to show that zero is less than absolute volley of maximized to is Austin 0.25 It implies the absolute value two X plus one minus five is awesome. But so we can just simply go and grab this. So, looking at a graph, this is we have our line. So the red line is two X plus one and you can see that as we got, but of the absolute values, you can see that they encompass the same exact section. So even though one because the slope is to act. So even though one of the, um one of the phrases is from 0 to 0.25 years from 0 to 0.5, you can see that they still they still are equal to each other because they accompany the same section

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Use formal definitions to prove the limit statements.$$\lim _{x \rightar…

Evaluate the indicated limit, if it exists. Assume that $\lim _{x \rightarro…

Limits at Infinity Find the limit.

$$\lim _{x \rightarrow \infty…

Evaluate the limits using the limit properties.$$\lim _{x \rightarrow 2}…

$$\begin{aligned}&\text { Use the definition of a limit to prove the…

Evaluate the following limits.$$\lim _{x \rightarrow 1}(-2 x+5)$$

Find the limits$$\lim _{x \rightarrow 2}\left(-x^{2}+5 x-2\right)$$

Find the limits.$$\lim _{x \rightarrow 2}\left(-x^{2}+5 x-2\right)$$

Find the limit if it exists. If the limit does not exist, explain why.$\…