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Math Help - Confused with Limits

  1. #1
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    Confused with Limits

    I have this problem that I just can't wrap my head around

    Lim x->infinity

    [(3e^3x)+(2e^x)-1]
    --------------------
    [(e^3x)-(e^2x)+5]

    I started by dividing both numerator and denominator by e^x and eventually got an answer of 3, but somehow I have a feeling I'm wrong.

    Any Ideas?
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  2. #2
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    \frac{{3e^{3x}  + 2e^x  - 1}}<br />
{{e^{3x}  - e^{2x}  + 5}} = \frac{{3 + \frac{2}<br />
{{e^{2x} }} - \frac{1}<br />
{{e^{3x} }}}}<br />
{{1 - \frac{1}<br />
{{e^x }} + \frac{5}<br />
{{e^{3x} }}}}<br />
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