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

Can someone tell me what is a Genre?
True or false. If a line L1has equation y = mx + b, where m and b are constants with m ≠ 0, then an equation of a line L2 perpendicular to L1 has the form y = -
Why was FDR's Court Packing Plan a mistake?
Find the explicit formula that produces the given sequence. 3/2, 3/4, 3/8, 3/16,...
[(24+16) divided by 8 times 5)]=? Please answer pllleeeaaaasee.
Is Obesity Really a Big Problem in America? Please help me :)
Which statement accurately describes the Battle of Marathon?   A. Athens fought alone against Darius's army and decisively defeated the Pers
simplify as much as possible.Assume that all variables represent positive real number4x√32xv^2 + v√2x^3
Why was FDR's Court Packing Plan a mistake?
Does a scalene always have to have unequal sides?