Question

Find the limit of the function algebraically.

limit as x approaches two of quantity x^2-4/x-2
@agent0smith

Answer 1

First, try factoring the numerator.

Answer 2

I gotta go out for a bit, maybe @ranga can finish off.

Answer 3

OKAY :(

Answer 4

\[\huge\color{blue}{ \lim_{x \rightarrow 2}~~~\frac{x^2-4}{x-2} } \]
\[\huge\color{blue}{ \lim_{x \rightarrow 2}~~~\frac{(x-2)(x+2)}{x-2} } \]
cancel out x-2 and plug in 2 for x.

Answer 5

@agent0smith is it x+4

Answer 6

wait nooo

Answer 7

No

Answer 8

i have
(x-2)(x+2)/x-2

Answer 9

Solomon: Are you using Chrome? The math editor, draw, latex, none of them work in Firefox for me.

Answer 10

\[\huge\color{blue}{ \lim_{x \rightarrow 2}~~~\frac{x^2-4}{x-2} } \]

\[\huge\color{blue}{ \lim_{x \rightarrow 2}~~~\frac{(x-2)(x+2)}{x-2} } \]

\[\huge\color{blue}{ \lim_{x \rightarrow 2}~~~\frac{\cancel{(x-2) }(x+2)}{\cancel{x-2 }} } \]

Answer 11

Solomon: All your replies are shown up raw.

Answer 12

\[\huge\color{blue}{ \lim_{x \rightarrow 2}~~~x+2}\]
\[\huge\color{blue}{ \lim_{x \rightarrow 2}~~~\color{red} { 2 }+2}\]

\[\huge\color{blue}{ \lim_{x \rightarrow 2}~~?}\] you tell me

Answer 13

@melacho, do you see the huge blue fractions, or a bunch of not making sense of letters numbers and etc ?

Answer 14

yes:/

Answer 15

ranga I am using chrome, and equation editor; yes.

this is not a yes or no question....

Answer 16

do (x-2) and (x+2) cancel out?

Answer 17

No, only x-2 and x-2, not x+2 and x-2

Answer 18

so x+2

Answer 19

yes, you would then have

limit x--->2 x+2

so plug in 2 for x, and you get

limit x--->2 ?
tell me the answer,

Answer 20

does not exist

Answer 21

I am not going to continue helping you, if you don't know how to plug in 2 for x. you are solving a limit and at this stage you should know this.

Answer 22

2^2-4/2-2=0/0

Answer 23

no no no,

1) factor the top. rule to use: a^2-b^2=(a+b)(a-b)
2) simplify the fraction, by canceling out (x-2) on top and bottom
3) plug in 2 for x.

Answer 24

4

Answer 25

no?

Answer 26

ok

Answer 27

Yes, 4, good job!

Answer 28

thanks c:

Answer 29

yw