Limit to sin sum

[venkat jothi]

find $$\lim_{x\to \infty } \frac{\pi}{2^n} \sum_{j=1}^{2^n} \sin \big(\frac{j \pi}{2^n}\big) $$ is equal to

I found this question on ISI B.Math, Hons Admission test 2009 UGA -8th problem.

I don't know how to start. please  help me

[Shreya Nair]

[Shreya Nair]

[Author]

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