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$$\text { If } \lim _{x \rightarrow 4} \frac{f(x)-5}{x-2}=1, \text { find } \lim _{x \rightarrow 4} f(x)$$

$$7$$

Calculus 1 / AB

Chapter 2

Limits and Continuity

Section 2

Limit of a Function and Limit Laws

Limits

Continuous Functions

Campbell University

University of Michigan - Ann Arbor

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:43

If $\lim _{x \rightarrow 1…

01:35

$$Let f(x)=\frac{2 x+3}{x+…

01:55

Find $\lim _{x \rightarrow…

00:28

Let $\lim _{x \rightarrow …

01:11

01:25

$$Let f(x)=\frac{2 x+1}{x-…

03:10

Evaluate the limit assumin…

00:38

00:53

02:01

okay so as to find the limit as extra poaches for of So let's start by using our quotient. So if we did that, we get the following with limits as experts four of FX and then we can use a different role here, sort of limits as X approaches 45 all over the limits as expertise. Four of X minus the limits as X approaches for of. So that's all equal to one. So we have the limits as X approaches four of ffx minus the limit of a constant that just equal to a constant threats minus five over the limit as activities for four. That's four minus. The constant to is you go to one. So yet this whole denominator is equal to two. We can multiply to on both sides, and we'll get the limit as X, which is four of off of X minus five, is equal to two. Adding five to both sides We get that are limits is equal to seven

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