Author Archives: Bunchhieng

About Bunchhieng

I like math, programming and web design!!

13th Harvard MIT Calculus problem 8


Let . Calculate 😀 Solution —>  we know that  So  —>  –>   *** By Taylor series Therefore    Advertisements

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Mix Limit Derivative and Integral


Anyone can do it?? then compare with my answer = 😀 I don’t want to post it 😀 I’m not sure my solution is right or wrong 😀 thank you 😀 My answer that I got is completely wrong 😀 … Continue reading

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Nice L’Hopital’s Rule Problem


Find the ? 😀 Solution Use The L’Hopital’s Rule for  Plugging x=1 then we get  Therefore  Thank you 😀

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Limit Problem 1


Compute ? 😀 Solution Since  We multiply the numerator and denominator by  and use the fact that  Therefore: **Another solution, using L’Hopital’s rule, is possible:  Thank you 😀

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The Amazing Number 1,089


1. Choose any three-digit number (where the units and hundreds digits are not the same). We will do it with you here by arbitrarily selecting 825. 2. Reverse the digits of this number you have selected. We will continue here … Continue reading

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12th Harvard MIT Calculus Problem 8


Compute 😀  😀 Solution Using the fact that , we evaluate the integral as follows: Noticing that the derivative of  is , it follows that the integral evaluates to  Evaluate this from  to  we obtain the answer  😀 Remember to change from … Continue reading

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12th Harvard MIT Calculus Problem 2


The differentiable function : satisfied and Find as a function of . Solution Substitution  then  So we get  since we know that  then we get  Therefore 😀 Thank you Pablo for comment about 😀

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