x&gtinfinity

  1. S

    For what value of a is the following equation satisfied?, lim x->infinity...

    ...((x-a)/(x+a))^x =e? I can't get this to work out, i'm thinking it needs to be done using logarithms to simplify it and then l'hoptial's to compute the limit, and then solve for a, but this could be wrong. Any Help would be much appreciated. Thanks
  2. BZNK

    Is it Right? Evaluate the limit, if it exists : lim x-->infinity (5^x-3x)/(e^x+5x^2)?

    Is it Right? Evaluate the limit, if it exists : lim x-->infinity (5^x-3x)/(e^x+5x^2)? Evaluate the limit, if it exists : lim x-->infinity (5^x-3x)/(e^x+5x^2) lim x-->infinity (5^x-3x)/(e^x+5x^2) => Infinity/Infinity Since it is infinity/infinity , we can use L'Hospital's rule. So: lim...
  3. B

    Find the limit when x-->infinity?

    find the limit when x-->infinity of a.) (3-2x)/(x^3-1) b.) (3-2x)/(3x-1) c.) (3-2x^2)/(3x-1)
  4. C

    lim x->infinity (2x^4-3x^2+2x-1)/(x^3-2x^2+2)?

    what is the limit, if it exists
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