lim xsin(1/x) as x goes to 0
In this video, I explained the 4 common methods of taking limits. I also solved the limit problem showing that only one of the 4 methods was relevant. The other 3 just didn't work.

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Integrate x^-x dx
![Limit of absolute value functions [ lim |x^3 - x|/(x^3 - |x|) as x goes to 0 ]](https://i.ytimg.com/vi/nJ9lEolfVpU/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLDGcffsGZUSa5fvVnAzNRwffetKuw)
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Limit of absolute value functions [ lim |x^3 - x|/(x^3 - |x|) as x goes to 0 ]

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Integrate 1/(1+x^3)

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The Limit (do not use L'Hospital rule)

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What is 0 to the power of 0?
![Proofs: Lim sinx/x =1 and lim [cosx -1] /x =0 as x goes to zero from geometry](https://i.ytimg.com/vi/W0jiodfVGx0/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLC1sRa1ugKKc5vzqNWdsn98a95SJA)
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Proofs: Lim sinx/x =1 and lim [cosx -1] /x =0 as x goes to zero from geometry

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What Lies Between a Function and Its Derivative? | Fractional Calculus

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The most important limit in Calculus // Geometric Proof & Applications

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The Calculus Idea I Wish Had Been Explained First

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Proof of a Limit Value Using Epsilon and Delta

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The essence of calculus

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Innocent looking, but ????

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Why The Limit Does Not Exist

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The Derivative - The MOST Important Concept in Calculus

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How To Find The Limit At Infinity

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Taylor series | Chapter 11, Essence of calculus

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Complex Integration and Finding Zeros of the Zeta Function

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Best Explanation of Gradient, Divergence and Curl

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When CAN'T Math Be Generalized? | The Limits of Analytic Continuation

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