calculus

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Find lim (with x¨‡ under it) (x^2-1)/x or state that the limit does not exist.

I'm so lost with what to do with limits...I tried to simplify the expression to lim x+lim -1/x, but from there I'm pretty dumbfounded.
If anybody could help me out I'd really appreciate it.

  • calculus -

    I guess symbols do not post, but it is just lim with (x->infinity) underneath

  • calculus -

    You are looking for the limit of

    x^2 -1
    -------
    x

    as x ---> oo

    well when x is very large the numerator is x^2 and the one does not amount to a hill of beans so what you really have is

    x^2
    ---
    x

    which is of course x
    which goes to infinity as x goes to infinity

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