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 a direct combination reaction?
in what ways is climate controlled by the sun and the water cycle ?
What are two different ways to describe and label the layers of the Earth?
When was World War I?
How does transpiration play a  role in the water cycle ?
A passenger on a boat moving at 1.70 m/s on a still lake walks up a flight of stairs at a speed of 0.60 m/s , as shown in the figure . The stairs are angled at
A child is standing across the street from his apartment . His mother is on their balcony . The angle of elevation between the child's eyes and his mothers eyes
What three islands are located off the East African coast
What is a direct combination reaction?
two identical freight cars roll without friction towards each other on a level track. one car rolls 2 m/s the other 1 m/s. after the cars collide they couple an