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Vaibhav Mathur Grade: 12
        

The value of lim (n tends to infinity) sinn(2πn/3n+1) is


a. 0


b.Infinity


c.1


d.2

8 years ago

Answers : (1)

Ramesh V
70 Points
										

 


we know that sinx lies between [0,1]


for any value of n,  2Pi.n / (3n+1) is not a multiple of Pi/2


so  sin(2Pi.n / (3n+1)) can never be equal to 1 , i.e.,  sin(2Pi.n / (3n+1)) < 1


so the value in this interval [0,1)  power infinity gives zero


i.e., the above limi ttends to 0


option A


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Regards,

Naga Ramesh

IIT Kgp - 2005 batch

8 years ago
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