Use limit theorems as needed to evaluate each of the following limits; if a limi

pedzenekO

pedzenekO

Answered question

2021-10-13

Use limit theorems as needed to evaluate each of the following limits; if a limit is real number, find it; if a limit is infinite, find which one; and if a limit does not exist, then write DNE.
limx2(x+1)(x24)x23x+2

Answer & Explanation

timbalemX

timbalemX

Skilled2021-10-14Added 108 answers

To find the given limit
Let
L=limx2(x+1)(x24)x23x+2
=limx2(x+1)(x222)x22xx+2
=limx2(x+1)(x+2)(x2)x(x2)(x2)
=limx2(x+1)(x+2)(x2)(x2)(x1)
=limx2(x+1)(x+2)(x1}
=(2+1)(2+2)(21)=12
Hence
limx2(x+1)(x24)x23x+2=12
Jeffrey Jordon

Jeffrey Jordon

Expert2022-06-29Added 2605 answers

Answer is given below (on video)

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