For any[i] b [/i]element in real numbers, prove that [i]lim (b/n)=0[/i]
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Expert's answer
2011-09-08T11:42:38-0400
Proof.We have to show that for any e>0 there exist integer N>0 such that for all n>N we have that (*) |b/n| < e Let N be any integer greater than |b/e|: N>|b/e|. Then for any n>N we have that n > N > |b/e| whence |b/n| < e, which proves the statement.
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