A classic calculus 1 limit problem, evaluating the limit of x-th root of x as x goes to infinity. This is an inf^0 indeterminate form example. We will have to convert the x-root of x to x^(1/x) and then write x as e^ln(x) and use L'Hopital's Rule. Try this…

Comparison Theorem for improper integral,
direct comparison theorem,
direct comparison test,

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In this video, I give an example of Lagrange multipliers with two constraints by calculating the shortest and the longest distance between two disks.

Lacking proper equipment, two friends devise a way to measure how long the train is based on their walking steps. Can you solve for the length of the train? Thanks to Pedro for suggesting this problem!

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Separable differential equation,

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integral of 1/(sqrt(x)+x),
integral of 1/(x+sqrt(x)),
improper integral,
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My simple…

Find the Anki Vector of your dreams here:http://bit.ly/standupmathsvectorVector is Anki’s first home robot with personality and they have sponsored this vide...

Solving Logistic Differential Equation,
Cover up for partial fractions (why and how it works): https://youtu.be/fgPviiv_oZs

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Direct Comparison Test, Quick Idea ⭐️Please subscribe for more math content! ☀️support bprp on Patreon: https://www.patreon.com/blackpenredpen Guess what my ...