How to calculate <munder> <mo movablelimits="true" form="prefix">lim <mrow class="MJX-TeX

Jorden Pace 2022-07-02 Answered
How to calculate lim x 1 ( x 2 3 x + 2 ) ( x 1 ) ( x 3 1 )
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Answers (1)

Isla Klein
Answered 2022-07-03 Author has 12 answers
Notice that by writing
f ( x ) = x 2 x 2 + x + 1
you have that
x 2 x 3 1 = x 2 x 2 + x + 1 1 x 1 = f ( x ) x 1
Notice, moreover, that as x 1, f ( x ) 1 / 3. Meanwhile, depending on which direction you approach from, 1 / ( x 1 ) ± . The end result is clear: your one-sided limits go to + and and hence the limit overall does not exist.

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