Find the limits \lim_{x\to\infty}\frac{x^{-1}+x^{-4}}{x^{-2}-x^{-3}}

Anonym

Anonym

Answered question

2021-10-24

Find the limits
limxx1+x4x2x3

Answer & Explanation

mhalmantus

mhalmantus

Skilled2021-10-25Added 105 answers

Given:
limxx1+x4x2x3
To determine:
The limit of the given function by dividing the numerator and denominator by the highest powers of x:=?
Solution:
Solving:
limxx1+x4x2x3=limx1x+1x41x21x3
=limxx3+1x4x3+x2x6
Dividing numerator and denominator by x6:
We get:
=limxx+1x211x
Applying limits:
We get:
=limxx+1x211x=
Hence, the limit of the given rational function is:
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-30Added 2605 answers

Answer is given below (on video)

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