Trig Limit help

I get the concept just not how to work them

1) lim sin 2 z/z cos 3 z
Z-0

2) lim tan 3x/tan 5x
X-0

3) lim sin^2 theta/theta
Theta-0

4) lim tan 2x/3x
X-0

Question

Trig Limit help

I get the concept just not how to work them 

1) lim  sin 2 z/z cos 3 z
  Z-0 

2) lim tan 3x/tan 5x
 X-0

3) lim   sin^2 theta/theta
Theta-0

4) lim tan 2x/3x
X-0

tumblewolf · Answer

@dan815 can you please help?

tumblewolf · Answer

@whpalmer4

nethercreep333 · Answer

@ParthKohli  @Preetha  @pooja195  @theloricgarde13 @Qwertty123  @madidog5

nethercreep333 · Answer

@Ms-Brains

whpalmer4 · Answer

@Tumblewolf I would use L'Hopital's Rule for the first one — you have a quotient of two terms which both equal 0 at the limit, so take the derivative of numerator and denominator and examine the behavior of that fraction with the same limit.  As soon as you get something you can evaluate at the limit, you're set.

whpalmer4 · Answer

Yeah, looks like all 4 can be done that way.