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Mathematics LibreTexts

1.0.E Exercises

  • Page ID
    10622
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    TERMS and Concepts


     

    • Explain the following laws within the Ideal Gas Law

     

    Exercise \(\PageIndex{1}\) Euler number 

    Consider the function \(f(x)=\left(1+\dfrac{1}{x}\right)^x\). Make a table showing \(f(x)\) for \(x=1,2,3, .....\) . Round your solutions to five decimal places. What can you say  about the value of the  function \(f(x)\) as \(x\) increases indefinitely?

     
    Answer:

    \(\lim_{x \to \infty}\left(1+\dfrac{1}{x}\right)^x=2.7183=e.\)

    Contributors

     

    Pamini Thangarajah (Mount Royal University, Calgary, Alberta, Canada)