Check the solution to "Find the limit limx→−∞x2−4x+83x3"

sanuluy

Answered question

2021-02-25

Find the limit

lim_{x \to - \infty} \frac{x^{2} - 4 x + 8}{3 x^{3}}

BleabyinfibiaG

Skilled2021-02-26Added 118 answers

The given function is

lim_{x \to - \infty} \frac{x^{2} - 4 x + 8}{3 x^{3}}

Solve the limit of the function

= \frac{1}{3} lim_{x \to - \infty} \frac{x^{2} - 4 x + 8}{x^{3}}

= \frac{1}{3} lim_{x \to - \infty} (\frac{1}{x} - \frac{4}{x^{2}} + \frac{8}{x^{3}})

= \frac{1}{3} lim_{x \to - \infty} [lim_{x \to - \infty} (\frac{1}{x}) - lim_{x \to - \infty} (\frac{- 4}{x^{2}}) + lim_{x \to - \infty} (\frac{8}{x^{3}})]

= \frac{1}{3} (0 + 0 + 0)

= 0

Hence, the limit of the given function is 0.

Jeffrey Jordon

Expert2022-08-24Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?