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Re: Problem with Limits; basic calculus

  • To: mathgroup at smc.vnet.net
  • Subject: [mg38957] Re: Problem with Limits; basic calculus
  • From: Bill Rowe <listuser at earthlink.net>
  • Date: Wed, 22 Jan 2003 06:13:43 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

On 1/21/03 at 7:39 AM, sophtwarez at hotmail.com (David Seruyange) wrote:

>We were given the following function and asked to determine a limit:
>(3E^(-x) - E^(-3x)) / (E^(-3x) + E^(-x))

>Usually the approach is to select the dominant terms, factor and then
>determine the limit.  My initial reason had me select -E^(-3x) in the
>numerator and E^(-3x) in the denominator.

E^(-x) > E^(-3x) for x > 0. So, try multiplying the numerator and denominator by E^x


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