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 unknown angle measure in the triangle?
a scientist is studying a sample of water and a sample of an unknown liquid both samples have the same mass to scientists had to add more heat to the unknown li
Reinforcement is the ______ in a relationship A. Imagination B. Exercise C. Bond D. Reward
A rectangle whose perimeter is 110 feet. The length is 4 times as long as the width. Find the length and the width.
which table of values can best be used to graph the function y = -4x + 3? A.) X Y -1 -1 0 3
how does lake use tone in an indian fathers plea
4(x-2)-3x=2 , solve for x
Janiah is solving the system using elimination. Her first step is shown. What should be her next step?
Plz help me with my English. Click on the picture to see the question.
how do you find direct variation? im having trouble understanding this subject