OpenStudy (anonymous):

Use graphs and tables to find the limit and identify any vertical asymptotes of the function.

3 years ago
OpenStudy (anonymous):

@SolomonZelman @johnweldon1993

3 years ago
OpenStudy (anonymous):

3 years ago
OpenStudy (anonymous):

@SolomonZelman @SolomonZelman

3 years ago
OpenStudy (anonymous):

@johnweldon1993 @johnweldon1993

3 years ago
OpenStudy (johnweldon1993):

Vertical asymptotes occur when the denominator of a function = 0

3 years ago
OpenStudy (anonymous):

and this one does not, which means there are none right?

3 years ago
OpenStudy (johnweldon1993):

How can you come to that conclusion? It's not saying does (as it stands) it equal 0? it says when can it equal 0? so here, what value of 'x' would make the denominator = 0?

3 years ago
OpenStudy (anonymous):

4

3 years ago
OpenStudy (johnweldon1993):

Right, so this will have a vertical asymptote of x = 4 now, for the limit Notice how this says limit as x approaches 4 from the negative (left) side Basically saying, if we were to plug in numbers SO CLOSE to 4 but not quite 4 (3.9, 3.99, 3.999, 3.999999999) etc... what would the limit come out to?

3 years ago
OpenStudy (anonymous):

im not sure

3 years ago
OpenStudy (johnweldon1993):

try it out (if you cant graph it that is) manually plug in 3.9999999 for 'x' into your calculator and see what you get

3 years ago
OpenStudy (anonymous):

for x?

3 years ago
OpenStudy (anonymous):

so the limit is 4?

3 years ago
OpenStudy (johnweldon1993):

$\large \frac{3.999999}{3.999999 - 4} = ?$

3 years ago
OpenStudy (anonymous):

im getting a weird number @johnweldon1993

3 years ago
OpenStudy (anonymous):

i only have 30 more seconds to solve this

3 years ago
OpenStudy (johnweldon1993):

you should be...you should get an EXTREMELY large negative number...also known as negative infinity!

3 years ago
OpenStudy (anonymous):

yeah it ended, but im just curious to know what the answer is

3 years ago
OpenStudy (anonymous):

so there is no limit?

3 years ago
OpenStudy (johnweldon1993):

I just gave it to you As you saw...you probably got something along the lines of -3,999,999 It will just get bigger and bigger, but stay negative....the limit approaches negative infinity

3 years ago
OpenStudy (anonymous):

thnaks!

3 years ago
OpenStudy (anonymous):

can you help me with one more?

3 years ago