Question

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

Answer 1

@zpupster

Answer 2

the language as x approaches 3 from the left ( becasue of the minus sign)

it can not reach 3 then it would be undefined so we look at values close to three
but also left of three

2.9-3 = -.1
2.99-3 = -.01
2.999-3 = -.001

and so on we see that as we approach 3 we approach a negative number increasingly small

or \[-\infty\]

Answer 3

so x would equal 3 right? @zpupster sorry openstudy stopped working for a second

Answer 4

-3*

Answer 5

the language as x approaches 3 from the left 1/(x-3) approaches −∞

Answer 6

wait im confused is x= -3 or x=3 ? I think it is -3 because it is approaching from the left

Answer 7

@zpupster

Answer 8

would it be written like A or B? @ganeshie8

Answer 9

maybe a graph will help

you see as we go to three we go to −∞

Answer 10

so x=3 is correct?

Answer 11

no −∞ is correct

Answer 12

there are two parts to this question!

Answer 13

i understand that, but x equals something

Answer 14

and identify any vertical asymptotes

Answer 15

the vertical asymptote would be x=3 right?

Answer 16

@satellite73 please help!

Answer 17

@johnweldon1993

Answer 18

The vertical asymptote is indeed 3..whatever makes the denominator = 0 will cause a vertical asymptote

Answer 19

thank you!

Answer 20

Now to actually solve the limit, since we are approaching from the left side (or numbers lower than 3) we can just plug in 2.9 for 'x'...and then 2.99...and 2.999 so on and so forth, and see what the numbers approach