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

Ava-May Nelson 2021-01-31 Answered
Find the limits. Write or where appropriate. limx0x23x+2x34x
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Expert Answer

Bella
Answered 2021-02-01 Author has 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:

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