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Math Help - Compute Limit x->infinity

  1. #1
    Junior Member
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    Compute Limit x->infinity

    lim x-> sqrt(x^2 +7)

    I am stumped and my brain is not working.


    I tried rationalizing it:

    x^2 +7 / sqrt(x^2 +7)

    then dividing the highest power in denominator

    x+ (7/x) / sqrt(1 + 7/x^2)

    Finally:

    x/1

    What kind of answer is this??
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  2. #2
    MHF Contributor
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    Re: Compute Limit x->infinity

    Think about the square root function - it tends to infinity slowly...
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