Prove that each of the following sequences converges to zero. a) xn = sin(log n + n5

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Prove that each of the following sequences converges to zero.
a) xn = sin(log n + n5 + en2)/n
b) xn = 2n/(n2 + π)
c) xn = (√2n + l)/(n + √2)
d) xn = n/2n
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