mathematics <exponential>

This is a discussion on mathematics <exponential> within the A Brief History of Cprogramming.com forums, part of the Community Boards category; I understand that the following. approximately e=2.71828182845904523536 I have been asked in my mathematics book to graph e on my ...

  1. #1
    essence of digital xddxogm3's Avatar
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    mathematics <exponential>

    I understand that the following.

    approximately
    e=2.71828182845904523536

    I have been asked in my mathematics book to graph e on my calculator.

    How would I do this?
    It does not ask me to graph e^x.
    Just e by itself.
    What would that be on my calculator (TI-85)?

    I have been unable to find this through google as of yet.
    "Hence to fight and conquer in all your battles is not supreme excellence;
    supreme excellence consists in breaking the enemy's resistance without fighting."
    Art of War Sun Tzu

  2. #2
    & the hat of GPL slaying Thantos's Avatar
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    e = lim n->infinity (1 + 1/n)^n
    http://mathforum.org/dr.math/faq/faq.e.html

    So on your calculator:
    y = (1 + 1/x)^x

  3. #3
    essence of digital xddxogm3's Avatar
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    I know that it has that as the function.
    let me tell you the full problem.
    I must be completely misunderstanding this.
    please forgive the simplicity of the question.

    [text problem]
    Illustrate the definition of the number e by graphing the curve y=(1+(1/n))^x and the line y=e on the same screen using the viewing rectangle [0,40] by [0,4].
    [/text problem]

    Understand everything on this problem except the line y=e?
    I have already graphed (1+(1/n))^x, but I'm not sure what they want by y=e.

    to me i would say
    e=(1+(1/n))^x
    so it would be the same line.
    but how would i prove that with a graphing calculator
    and how would i graph e
    "Hence to fight and conquer in all your battles is not supreme excellence;
    supreme excellence consists in breaking the enemy's resistance without fighting."
    Art of War Sun Tzu

  4. #4
    & the hat of GPL slaying Thantos's Avatar
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    e is a number, what do you get when you have y=1? You have a horzontal line crossing (0,1). So push into your calculator y = e. If you only have a e^ key then either delete the ^ symbol or put in e^1.

    I mean they told you exactly what they wanted.


    e=(1+(1/n))^x
    This is not correct. e only equals this formula at the limit as n becomes unbounded.

  5. #5
    essence of digital xddxogm3's Avatar
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    i didn't know you could delete portions of a predefined function on the calculator.
    deleting the ^ from e^ drew a line at just about 3.
    so that worked.
    thanks thantos.
    "Hence to fight and conquer in all your battles is not supreme excellence;
    supreme excellence consists in breaking the enemy's resistance without fighting."
    Art of War Sun Tzu

  6. #6
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    umm y=e^1?

  7. #7
    Registered User Kybo_Ren's Avatar
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    I'm pretty sure they wanted you to illustrate the convergence of e as e approaches infinity compared to a (relatively accurate) approximation of e .

    As Thantos said, just put y=(1+1/x)^x and y=e^1.

  8. #8
    & the hat of GPL slaying Thantos's Avatar
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    Why bump a 4 day old thread when the OP has already stated that they have it working?

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