Sorry about this....Math Question

[Mears]

Ok...as the lim x approaches 0 for any sin(x)/(x) =1. Is this only true as the lim x approaches 0. For example as the lim x approaches pi/2 it wouldn't still be 1 would it because the lim at pi/2 is defined. I thought it would be 2/pi since it would come out to 1/pi/2...2/pi, but someone told me that no matter what sin(x)/(x)=1. Is this true?

 

[Wangel]

Is today Friday?

 

[Digobick]

Sin(x)/x will always equal 1 as the limit approaches 0. But if you change it to where it's approaching something else, say 5 for example, then the answer changes to sin(5)/5. Change the limit to -2 and it's Sin(2)/2.

 

[Digobick]

Wait a sec, are you in radians or degrees here? Just curious.

If you're in radians, then the limit of sin(x)/x where x approaches pi/2 = 2/pi.
If in degrees, the answer would be: (2sin(pi/2))/pi

You should probably be in radians though.

 

[Mears]

Sweet...yeah radians. Yeah its Friday and I just finished my calc exam. Now its time to start writing two philosophy papers......arg.