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Single Variable Calculus

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Formal Definition of the Limit of a Sequence

SVCALC-A41JLB

Let $a_n=\frac{n}{n+1}$. What is the smallest number $N$ with the property that if $n\geq N$, then $|a_n-1|<\frac{1}{10}$?

A

$11$

B

$51$

C

$101$

D

$501$

E

$1001$