Question

Can someone please help me with a limit trig function?

Answer 1

the limit of sin3x/xcosx as x approaches 0 is?

Answer 2

You have formula to do that

Answer 3

\(\lim_{x\rightarrow 0}\dfrac{sin (x)}{x}=1\), right?

Answer 4

yes

Answer 5

wait first of all I took the 3 out of the limit and put it in front is that ok?

Answer 6

so, if x-->0 ,then 3x -->0 also, right?
Now, you just multiple 3 both numerator and denominator. What do you get?

Answer 7

\[\lim_{x\rightarrow 0}\dfrac{3*sin(3x)}{3x*cos(x)}\]