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The value of lim (n tends to infinity) sin n (2πn/3n+1) is a. 0 b.Infinity c.1 d.2

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


a. 0


b.Infinity


c.1


d.2

Grade:12

1 Answers

Ramesh V
70 Points
12 years ago

 

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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