True or false:
Limit of [(pi/n) (sin(pi/n) + sin(2pi/n) + sin(3pi/n) + ...)] as n reaches infinity =

Question

True or false:
Limit of [(pi/n) (sin(pi/n) + sin(2pi/n) + sin(3pi/n) + ...)] as n reaches infinity =

anonymous · Answer

There can be more than one answer.

anonymous · Answer

@zepdrix trig hurts my brain lol >.<

zepdrix · Answer

Is the (pi/n) supposed to be multiplying ALL of the sines or just the first one?

anonymous · Answer

I is true for sure
just says the same thing in sigma notation

anonymous · Answer

II is the same thing as 1, rewriting the limit as an integral

anonymous · Answer

Yes

anonymous · Answer

Then are they all correct? because option e is I, II, and III. There isn't an option for just I and II

anonymous · Answer

@satellite73

accessdenied · Answer

I just had a practice AP problem very similar to this one, only the pi was not multiplied on.  haha.

Have you tried evaluating that integral?  That would answer your question knowing that the first two equal the first, so if that integral evaluates to 2 then the third does as well.