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KCC's quizzes AQQ255 about a limit at infinite

And here is a new quiz coming!

1. Info: the frequent winners should have received some award and certificate. Please warn me if you think you have been forgotten!

2. Quote of the week: "The elevator to success is out of order. You'll have to use the stairs... one step at a time." - Joe Girard.

3. New quiz of the week: AQQ255 about a limit to infinite

Good luck!

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[edited by: emassa at 3:52 PM (GMT -4) on 21 Mar 2024]
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  • 1)  It is the math constant 'e'

    2)  y=\lim_{x\to\text{infinity}}(1+\frac{1}{x})^x


    rearrange to:


    This limit leads to 0/0, so we apply l'Hopital's rule and take derivative


    Take the limit again, which gives:

    \ln(y)=\lim_{x\to\imaginaryI nf}(1+\frac{1}{x})




  • Fantastic Tim! You get it, congratulations!

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