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

Find The art length of a sector with an area of 8 square units.
Simplify: 3ab-9ab+7ab Solve: A- 2(5x-3)=24 B- 5(2x+1)=50
Please help! Brainliest if you explain
The ________ is a large set of axons conveying information between the two hemispheres of the brain
Because laxative use can be habit forming, what is the best way to treat constipation?
Solve and graph the following compounf inequalities 7<5x+2<22
Helium has an atomic number of two, so its outer energy level is full. Helium is considered _____. neutral inert an anion a cation
For how many years did the british have official control of the gold coast colony at
Which statement is true if the Hrxn of a reaction is positive? A.)The reaction is endothermic. B.)The reaction is exothermic. C.)There is more reactant than pro
What is the most important reason for citing a source when quoting it directly?