What is the value of \(\lim\limits_{y \rightarrow 0}\frac{sin⁡3y}{3y

1.	What is the value of \(\lim\limits_{y \rightarrow 0}\frac{sin⁡3y}{3y}\)?
A.	0
B.	1
C.	3
D.	\(\frac{1}{3}\)
Answer» C.

Discussion

What is the value of \(\lim\limits_{x \rightarrow 0}\frac{e^x(sin^2⁡ x)}{x^3}\)?
What is the value of the limit \(\lim\limits_{x \rightarrow 0}\frac{sin^2⁡x}{x^2}\)?
What is the value of the limit \(\lim\limits_{x \rightarrow \frac{\pi}{2}}\frac{sin^2⁡x-1}{cos ⁡x}\)?
What is the value of the \(\lim\limits_{x \rightarrow \frac{3\pi}{2}}\frac{cos⁡ x sin⁡ x}{sin⁡2x}\)?
What is the value of the limit f(x) = \(\frac{sin^2⁡x+\sqrt 2 sin ⁡x}{x^2-4x}\) if x approaches 0?
What is the value of \(\lim\limits_{y \rightarrow 0}\)(32 x2 cosec2 ⁡4x)?
What is the value of \(\lim\limits_{x \rightarrow \infty}\frac{x sin⁡\frac{2}{x}}{2}\)?
What is the value of \(\lim\limits_{x \rightarrow 0}\frac{x \,tanx}{cot\, x}\)?
What is the value of \(\lim\limits_{x \rightarrow 0}\frac{x^2sec x}{sin⁡ x}\)?
What is the value of \(\lim\limits_{y \rightarrow 0}\frac{sin⁡3y}{3y}\)?