Find the rates of convergence of the following sequences as n→∞.
a. limn→∞ sin1/n = 0
b. limn→∞ sin 1/n2 = 0
c. limn→∞ (sin 1/n)2 = 0
d. limn→∞ [ln(n + 1) − ln(n)] = 0
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