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

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.5 years, and standarddeviation of 0.6 years.The 10% of items with t
This is a maze where you find the answer starting from where it says start, and as you find the answer you highlight it along the way! Pls help I’m really bad a
What is 6 hundred thousand in hundreds
A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each que
The current through the battery is 56 A. Find the voltage across the source?
Rewrite 3^x = 243 as a logarithmic equation. log3(243) = x logx(243) = 3 log3(x) = 243 log243(x) = 3
NH3 + O2 → ___NO2 + _H2O
Multiple the binomials (simplify) (y-4)(y-8)
Find value of x. Math 80 I know it’s something to do with sine right?
Differentiate. f(x) = (4x2 - 8) - (1 + 4x3) f'(x) = 32x(4x2 - 8) 3 - 12x2(1 + 4x3,4 f'(x) = 32x(4x2 - 8) 3 - 60x?(1 + 4x3,4 f'(x) = (32x-8)(4x2 - 8)3 - (1 + 60x