Question

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

Answer 1

@SolomonZelman @johnweldon1993

Answer 2

@johnweldon1993 PLEASE HELP LAST QUESTION @wio

Answer 3

@SolomonZelman @SolomonZelman

Answer 4

@johnweldon1993 @johnweldon1993

Answer 5

Vertical asymptotes occur when the denominator of a function = 0

Answer 6

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

Answer 7

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?

Answer 8

4

Answer 9

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?

Answer 10

im not sure

Answer 11

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

Answer 12

for x?

Answer 13

so the limit is 4?

Answer 14

\[\large \frac{3.999999}{3.999999 - 4} = ?\]

Answer 15

im getting a weird number @johnweldon1993

Answer 16

i only have 30 more seconds to solve this

Answer 17

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

Answer 18

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

Answer 19

so there is no limit?

Answer 20

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

Answer 21

thnaks!

Answer 22

can you help me with one more?