Find the limit of $\frac{\sqrt{4+5x}-2}{3x-4+\sqrt{2x^2+16}}$ as $x$ approaches 0

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Algebra 2 - Solving a factored quadratic equation using the zero product property, -x(3x + 5) = 0

https://www.youtube.com/watch?v=3on6rsKoK_k

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

Calculus - Take the log of both sides to find the derivative, y = (x(x^2 + 1)^2)/(sqrt(2x^2 - 1))

https://www.youtube.com/watch?v=7aF6Ck6ZRxw

Calculus - Learn how to evaluate a limit by factoring, lim(x tends to -1) (x^2 - 5x - 6)/(x + 1)

https://www.youtube.com/watch?v=-nTo1qgNDLE

Algebra 2 - Factoring a trinomial when a is greater than one now you know solve 2x^2 + 5x -3 = 0

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

Algebra 2 - Solve a system of equation when they are the same line, 3x - 2y = -15; x - (2/3)y = -5

https://www.youtube.com/watch?v=nrrINRUnk74

Function Plot

Plotting: $\frac{\sqrt{4+5x}-2}{3x-4+\sqrt{2x^2+16}}$

Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

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