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Thread: Limit...

  1. #1
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    Limit...

    $\displaystyle \lim [\frac{10^n+1}{2*10^n-1}]$

    here is my work:
    $\displaystyle \lim \frac{10^n(1+1)}{10^n(2*1-1)}$ = $\displaystyle \frac{2}{1} $
    But that was wrong..correct answer was $\displaystyle \frac{1}{2}$
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  2. #2
    Super Member girdav's Avatar
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    There is a mistake when you factorized : $\displaystyle 10^n+1 = 10^n\left(1+\frac 1{10^n}\right)$
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  3. #3
    Super Member General's Avatar
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    Quote Originally Posted by Henryt999 View Post
    $\displaystyle \lim [\frac{10^n+1}{2*10^n-1}]$
    Assuming $\displaystyle \color{blue}n\to\infty$:
    Devide top and bottom by $\displaystyle \color{blue}10^n$.
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