Find the following limits or state that they do not exist. Assume a, b, c, and k

Khaleesi Herbert

Khaleesi Herbert

Answered question

2021-10-16

Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real numbers.
limx1x3+1x1

Answer & Explanation

estenutC

estenutC

Skilled2021-10-17Added 81 answers

Given: The expression of limit as limx1x3+1x1
To evaluate: The given limit if exists.
Explanation:
Let first find the domain of function y=x3+1x1
Here the Numerator is a polynomial so it is defined for every real number but denominator is x1 and it is defined only for x1>0
⇒>1
Therefore the domain of function y=x3+1x1 is (1,)
Hence left neighborhood of 1 is not in domain
y=x3+1x1 is not defined for x1
The given limit limx1x3+1x1 does not exist.
Answer: limx1x3+1x1 does not exist.

Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-04Added 2605 answers

Answer is given below (on video)

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