Infinity Integration

Discussion in 'CT6' started by mcallist, Sep 7, 2017.

  1. mcallist

    mcallist Member

    Hi All,

    Another infinity question.

    Can someone please explain how the following expression ends up as zero please?

    [-(x-200) * (6000^4)/(6000+x)^4] b/w limits of infinity and 200.

    Apologies about the formatting.

    Cheers,
    Tom
     
  2. John Lee

    John Lee ActEd Tutor Staff Member

    The easiest thing to do with any of these is simply to put a large number into your calculator and see what happens.
    For example, if I put in 1,000,000 I get -0.001265 so I can see this is heading towards zero.

    The bottom line is the denominator has the bigger power and so you'll be dividing by a bigger number which will get smaller.
     
    mcallist likes this.
  3. mcallist

    mcallist Member

    Thanks John
     
    John Lee likes this.

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