finding limits

[architectofthefuture]

can someone help me find the limit to this problem:

lim(y->0) (sin3y)/(4y)

 

[HallsofIvy]

Do you know the limit, as x goes to 0, of \(\displaystyle \frac{sin(x)}{x}\)? That's typically proved to find the derivative of sin(x).

 

[Scorpy]

can someone help me find the limit to this problem:

lim(y->0) (sin3y)/(4y)

As the previous member said,

is always equal 1. So, here you have 3siny/4y. By the rule siny/y = 1 and you have 3/4 at the end