euniceolorunsho
euniceolorunsho euniceolorunsho
  • 04-04-2019
  • Mathematics
contestada

evaluate the limit lim x—->0 sin(2x)/x^2+x

Respuesta :

LammettHash
LammettHash LammettHash
  • 08-04-2019

Recall that

[tex]\displaystyle\lim_{x\to0}\frac{\sin ax}{ax}=1[/tex]

for [tex]a\neq0[/tex].

We have

[tex]\displaystyle\lim_{x\to0}\frac{\sin2x}{x^2+x}=\lim_{x\to0}\frac{\sin2x}{2x}\cdot\lim_{x\to0}\frac2{x+1}=2[/tex]

Answer Link

Otras preguntas

What is the v intercept on the equatior y = 5%B
Which of the following best supports the big bang theory of the origin of the universe?
For now I have a test Let someone help meI'll give the most​
There were 375 students who said they rode the bus. This number represents 60% of the school enrollment. How many student are enrolled​.
A train travels at a constant rate of 145 miles per hour. a. What is the equation for this scenario? b. A second train is traveling 300 miles in 2 hours. Which
Why would the United States worry about the Japan's extent of control?
WHO WANTS BRAINLIEST?Chay solved for x in the triangle at the right . His work is below . Explain whether or not his work is correct . If it is incorrect , show
what was true about african Americans in the military​
High Sounds Are Made By Something Vibrating ________________. A( in a solid) B (fast) C (slow) D (underwater)
please help i’ll give crown