Determine the one-sided limits numerically or graphically. If infinite, state wh

lwfrgin

lwfrgin

Answered question

2021-10-20

Determine the one-sided limits numerically or graphically. If infinite, state whether the one-sided limits are or , and describe the corresponding vertical asymptote.
limx3±x2x29

Answer & Explanation

Velsenw

Velsenw

Skilled2021-10-21Added 91 answers

The one sided limits are calculated numerically for the given limit.
The limit provided in the question is limx3±x2x29
So right hand limit is limx3+x2x29
limx3+x2x29=90+
=+
And left hand limit is limx3x2x29
limx3x2x29=90
=
The vertical asymptote is given by the zeroes of the denominator of any function.
So the zeroes of the x2x29 is given by,
x29=0
x2=9
x=±3
Hence, the right hand limit is and left hand limit is and the vertical asymptote x=±3.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-06-26Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?