# Answer to Question #4185 in Real Analysis for Junel

Question #4185

For any

*b*element in real numbers, prove that*lim (b/n)=0*Expert's answer

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.

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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