Find the following limits or state that they do not exist. lim_{xrightarrow4}frac{31x-42cdotsqrt{x+5}}{3-sqrt{x+5}}

Ayaana Buck 2021-02-25 Answered
Find the following limits or state that they do not exist. limx431x42x+53x+5
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Expert Answer

berggansS
Answered 2021-02-26 Author has 91 answers
Consider the provide expression,
limx431x42x+53x+5
Now, find the limit of the provided expression.
limx431x42x+53x+5
Its is not determinant form because the expression from is 00
Apply the L Hospital rule,
limx431x42x+5(3x+5=limx43142(2x+5)(31x+5)
So, it is a determinant form
limx431x42x+53x+5=limx431422x+531x+5
=31426313
=2438
=9
Hence, the limit is 9
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