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Math Help - find the limit

  1. #1
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    find the limit

    \lim_{n \to \infty} \frac{3n}{2(n+1)}
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by varunnayudu View Post
    \lim_{n \to \infty} \frac{3n}{2(n+1)}
    Multiply both numerator by \frac{1}{n} to get \lim_{n\to\infty}\frac{3}{2\left(1+\frac{1}{n}\rig  ht)}=\dots
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  3. #3
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by varunnayudu View Post
    \lim_{n \to \infty} \frac{3n}{2(n+1)}
    using partial fraction: \lim_{n \to \infty} \frac{3n}{2(n+1)} = \lim_{n \to \infty}\left(\dfrac{3}{2} - \dfrac{3}{2(n+1)}\right) = \dfrac{3}{2}

    in fact, since the numerator and the denominator are of the same degree, just take their respective leading coefficient..
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