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Thread: Numbers e and pi

  1. #1
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    Numbers e and pi

    I found the following 2 questions regarding e and pi in the special topics of my precalculus math book.

    (1) e^(pi) + pi^(e) =

    (2) e^(pi)^(e) + pi^(e)^(pi) =
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by sologuitar View Post
    I found the following 2 questions regarding e and pi in the special topics of my precalculus math book.

    (1) e^(pi) + pi^(e) =

    (2) e^(pi)^(e) + pi^(e)^(pi) =
    So, what's your question?
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  3. #3
    Super Member Bacterius's Avatar
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    What's so special about those results ? I typed into google and it doesn't show anything particular ...
    Or are you supposed to calculate it without a calculator ? Or simplify it ?
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  4. #4
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    There is nothing special about them. I suspect that they are just exercises in using your calculator. Probably your calculator has a "[itex]\pi[/itex]" key. If not, you can always use [itex]\pi= 4tan^{-1}(1)[/itex] (with your calculator in radian mode, of course). For "e" use either the "$\displaystyle e^x$ key to find $\displaystyle e= e^1$ or use the "inverse" "ln" keys.
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  5. #5
    Super Member Bacterius's Avatar
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    I suspect that they are just exercises in using your calculator.
    In the special topics of a precalculus maths book ?
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  6. #6
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    Yeah...

    I don't why this is called "special topics" by the author.
    Now, can this be done without a calculator?



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  7. #7
    Super Member Bacterius's Avatar
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    Quote Originally Posted by sologuitar View Post
    I don't why this is called "special topics" by the author.
    Now, can this be done without a calculator?


    No, unless have have an integrated floating point unit processor in your cerebral cortex. And even with infinite processing power, you would not be able to get the exact answer, since $\displaystyle \pi$ and $\displaystyle e$ are irrationnal. Thus, you must use a calculator to get the best "approached" value.
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