Trig Limits: Does x/sin(x) = 1 as x-->0?

[ggcheck]

This isn't really a homework question--but just something I was thinking about while doing homework.

Since lim(sinx/x) as x--->0 = 1

does that mean that lim(x/sinx) as x--->0 = 1 ?

 

[bob1182006]

yes, you can manipulate the x/sinx to sinx/x which will give you 1

 

[ggcheck]

cool, how is that done?

 

[bob1182006]

lim x/sinx = lim 1/(sinx/x) = 1/1 = 1
as x->0

 

[ggcheck]

oh wow, that waas a long time ago, forgot about that

haha, thank