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Find the limit of $\frac{\sqrt{x^2+1}-1}{x^2}$ as $x$ approaches 0

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Solution

Videos

Pre-Calculus - Operations with functions f(x) = 2x -5 , g(x) = 2-x and f(x) = x^2+6 , g(x) root(1-x)

https://www.youtube.com/watch?v=rthRvbioYyU

Calculus - Evaluating a limit by rationalizing the radical, lim(x tends to 0) (sqrt(x + 1) - 1)/x

https://www.youtube.com/watch?v=v8dIvXm03dw

How do we find the period of our trigonometric graphs sine and cosine

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How to find the range of the sine and cosine graph

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Algebra 2 - How to find all the roots of a polynomial by factoring, y = 6x^3 + x^2 - x

https://www.youtube.com/watch?v=Qi20wNdicXQ

Algebra 2 - How to find the real zero of a cubic function, y = -1(x - 3)^3 + 1

https://www.youtube.com/watch?v=4dSA02Fzric

Function Plot

Plotting: $\frac{\sqrt{x^2+1}-1}{x^2}$

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Main Topic: Integrals with Radicals

Integrals with radicals are those integrals that contain a radical (square root, cubic, etc.) in the numerator or denominator of the integral.

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