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

a. 0

b.Infinity

c.1

d.2

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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