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Find the limit of $\sqrt{x+3}-\sqrt{x}$ as $x$ approaches $\infty $

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Solution

Videos

Algebra 2 - How to divide the cube root of a rational expression by rationalizing the denominator

https://www.youtube.com/watch?v=zfKL1_DzUBk

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

Tutorial - Condensing logarithmic expressions ex 11, 1/2(3log2(x)-2 log2(z))

https://www.youtube.com/watch?v=doNh13E4XBo

Algebra 2 - Learn step by step how to simplify a complex fraction, (3/(x+1)) / (5/(x -1))

https://www.youtube.com/watch?v=uXVIkvfXzr8

Algebra 2 - Simplifying a radical expression by dividing and not rationalizing the denominator

https://www.youtube.com/watch?v=HpZPJtO3EFA

Derivatives of sec(x) and csc(x) | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=TDJ5nXWEkWM

Function Plot

Plotting: $\sqrt{x+3}-\sqrt{x}$

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Main Topic: Limits by Rationalizing

Limits that require that we apply rationalization to solve them.

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