Question

How do you find the limit of f(x) as x approaches 3 from the left?

Answer 1

f(x)=??

Answer 2

It doesn't give what it is I dont think but there is a graph

Answer 3

what do you think?

Answer 4

I m not sure even where to start. My textbook is confusing me more...

Answer 5

confirm: from your post, the point is 3. from your attachment, the point is 2. which one is the real problem?

Answer 6

o sorry its 2.. mistype

Answer 7

I think it is = 3

Answer 8

Ok Thanx :)

Answer 9

yw

Answer 10

$$
\large\text{If }\lim_{\tt{x}\to2^-}x=\lim_{\tt{x}\to2^+}x\text{ then }
\lim_{\tt{x}\to2}x\text{ exists}\\
\large\text{From your chart we see that }\\
\large\lim_{\tt{x}\to2^-}x=\color{red}{\tt\bf{3}}
\text{ and }
\large\lim_{\tt{x}\to2^+}x=\color{red}{\tt\bf{-2}}\\
$$
Left and right limits at 2 are NOT equal.

Answer 11

@ybarrap but the question just ask about the limit of f(x) when x approaches to 2\(^{-}\),

Answer 12

The limit as x approaches 2 from the right is -2. The limit as x approaches 2 from the left is 3. These two limits are not equal so the limit at x=2 does not exist.

Answer 13

hey, as you say, "limit as x approaches 2 from the left is 3". That's the goal of the question, right?
If they ask " what is the limit of f (x) when x approaches 2" then, your argument is valid.

Answer 14

You are right! I missed that part. Answer is 3.

Answer 15

hehehe.. thank you

Answer 16

I was just reading the word document, which has a different question.