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Category Archives: Problems
13th Harvard MIT Calculus problem 8
Let . Calculate ðŸ˜€ Solution —>Â we know thatÂ SoÂ —>Â –> Â *** By Taylor series ThereforeÂ Advertisements
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Mix Limit Derivative and Integral
Anyone can do it?? then compare with my answer = ðŸ˜€ I don’t want to post it ðŸ˜€ I’m not sure my solution is right or wrong ðŸ˜€ thank you ðŸ˜€ My answer that I got is completely wrong ðŸ˜€ … Continue reading
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Nice L’Hopital’s Rule Problem
Find theÂ ? ðŸ˜€ Solution Use The L’Hopital’s Rule forÂ Plugging x=1 then we getÂ ThereforeÂ Thank you ðŸ˜€
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Limit Problem 1
Compute ? ðŸ˜€ Solution SinceÂ We multiply the numerator and denominator byÂ and use the fact thatÂ Therefore: **Another solution, usingÂ L’Hopital’s rule, is possible:Â Thank you ðŸ˜€
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The Amazing Number 1,089
1. Choose any threedigit 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 ðŸ˜€Â ðŸ˜€ Solution Using the fact thatÂ , we evaluate the integral as follows: Noticing that the derivative ofÂ isÂ , it follows that the integral evaluates toÂ Evaluate this fromÂ toÂ we obtain the answerÂ ðŸ˜€ 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 SubstitutionÂ thenÂ So we getÂ since we know thatÂ then we getÂ Therefore ðŸ˜€ Thank you Pablo for comment about ðŸ˜€
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