Find the limits. Write infty or -infty where appropriate. lim_{xrightarrow0^-}frac{x^2-3x+2}{x^3-4x}

Ava-May Nelson

Ava-May Nelson

Answered question

2021-01-31

Find the limits. Write or where appropriate. limx0x23x+2x34x

Answer & Explanation

Bella

Bella

Skilled2021-02-01Added 81 answers

First let's write the limit
limx0x23x+2x34x
=limh0x23x+2x34x
=limh0h23(h)+2h3+4h
=limh0h2+3g+2h3+4h
Then, since h tends to 0, it must be fractional and less than 1
As h<1
h3
Hence, h3<4h
4hh3>0
Hence, the denominator in the limit above approaches 0+
Limit=0+0+20+=
Result:

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?