21-06-2021
Mathematics

contestada

lim x->0 [ (x^2 - 2x) / (x^3 - 4x) ]

Find this limit’s value.

Respuesta :

LammettHash LammettHash

25-06-2021

Cancel the factor of x in both the numerator and denominator to get a limand that is continuous at 0:

[tex]\displaystyle\lim_{x\to0}\frac{x^2-2x}{x^3-4x} = \lim_{x\to0}\frac{x-2}{x^2-4} = \frac{0-2}{0^2-4} = \boxed{\dfrac12}[/tex]

Answer Link

Otras preguntas

Find the value of x in each case:

Please select the correct definition for the given word.domestic system

How does the cardiovascular system help the body maintain homeostasis? osmosis and capillary action capillary action and thermoregulation thermoregulation and h

Given the following equations, find a formula for g(ſ(x)) g(x) = -X-7 F(x)=-8x^2-5

Does anyone have earth science semester b test?

Enter the number that belongs in the green box

What number can make this trinomial a perfect square trinomial 4x²+_x+81

Why aré greenhouse gases good ?

A bicycle tire is 28 inches in diameter.Approximately how far does the bicycle move forward each time the wheel goes around?(use 22/7 as an approximation for )

How are enzymes needed for the body to function?