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Math Help - limits and sequences

  1. #1
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    limits and sequences

    please can you help me with this limit?
    lim for x tending to -infinity of e^x(lnIxI + 3x) how do i have to procede?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Aglaia View Post
    please can you help me with this limit?
    lim for x tending to -infinity of e^x(lnIxI + 3x) how do i have to procede?
    Do you mean:

    lim(x->-inf) (e^x)[ln(|x|) + 3x]

    or:

    lim(x->-inf) exp(x [ln(|x|)+3x])

    The first of these goes to 0, as e^x decreases faster than |x|^k for
    and real k as x -> -inf.

    The second of these goes to +inf, as for large |x| x (ln(|x|+3x)
    behaves like x^2.

    If need be all of this can be made rigourous.

    RonL
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