fredrickmabeti2004 fredrickmabeti2004
  • 03-09-2022
  • Mathematics
contestada

lim x→0 √(x²+4)-2/x²​

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 07-09-2022

The limit of the given function is 1/2

Limit of a function

Given the following limit of a function

lim x→0 √(x²+4)-2/x²​

Substitute the limit to have:

√(0²+4)-2/0²​

√4 - 2/0

2-2/0

0/0 (ind)

Apply the L'hospital rule to have;

lim x→0 d/dx√(x²+4)-2/(d/dx)x²​

lim x→0 (x²+4)^-1/2 * 2x/2x

lim x→0 (x²+4x)^-1/2

Substitute

(4)^-1/2

1/2

Hence the limit of the given function is 1/2

Learn more on limit of a function here; https://brainly.com/question/23935467

#SPJ1

Answer Link

Otras preguntas

What do all members of a biological species have in common? A. They can interbreed and produce fertile offspring. B. They are members of the same population.
What is the source of the following phrase: “Government of the people, by the people, for the people”?
Two men who signed the Declaration of Independence went on to become U.S. presidents. Who were they?
How many words are in the Pledge of Allegiance? a. 31 b. 22 c. 29
Where does the Liberty Bell hang?
What American President was famous for playing golf every Fourth of July?
The Scopes Trial was about: a. Freedom of the press b. Teaching evolution in school c. Prayer in school
The heads of which presidents are carved into Mount Rushmore?
What is the formula for Slope-Intercept Form of the Line
What is the formula for Slope-Intercept Form of the Line