SOLUTION: find the limit of (sin 2x)/(3x)find the limit of lim x-> 0 (sin 2x)/(3x)

Algebra.Com
Question 1090295: find the limit of
(sin 2x)/(3x)find the limit of lim x-> 0 (sin 2x)/(3x)

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Move the term outside of the limit because it is constant with respect to .

Evaluate the limit of the numerator and the limit of the denominator:
you got

Since is of indeterminate form, apply L'Hospital's Rule. L'Hospital's Rule states that the limit of a quotient of functions is equal to the limit of the quotient of their derivatives.









so,

RELATED QUESTIONS

find the limit of (sin 2x)/(sin 3x)find the limit of lim x-> 0+ (sin 2x)/(sin... (answered by KMST)
Evaluate the limit, if it exisit lim goes to -1 of 2x^2... (answered by solver91311)
a)Find ∫sin(2x + π/3)dx b)Use your answer to part (a) to find the exact value (answered by jim_thompson5910)
evaluate the limit using the squeeze therom lim x->0+ sqrtx e^sin(pi/x) (answered by ikleyn)
sin(A+B) = sin A cos B + cos A sin B cos(A+B) =... (answered by vleith)
For each of the limits determine whether the limit exists as a number, as an infinite... (answered by Boreal)
Im not sure if this is the right section, but if anyone can help me with the following... (answered by richard1234)
find the limit: lim x approaches 3, 3 sqrt 2x^2 -10 Thank you (: (answered by ikleyn)
Again, I know I am in the wrong section... But can anyone help me solve the following... (answered by stanbon)