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

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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 - 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

Calculus - Evaluating a limit by factoring, lim(x tends to -1) (x^2 + 4x + 3)/(x + 1)

https://www.youtube.com/watch?v=klQ7xZ0PU5U

Algebra 2 - Find the solutions of the trinomial when it is not solved for zero x^2 = -x^2 + 50

https://www.youtube.com/watch?v=z2WuLEvteCw

Algebra 2 - Evaluating functions for numeric values, p(x) = 2x^2 - 4x + 1. Find p(2) and p(-1)

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

Function Plot

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

Similar Problems Solved

Find the limit

$\lim_{x\to\infty}\left(\frac{ln\left(x\right)}{\sqrt{x}}\right)$

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$\lim_{x\to\infty}\left(\frac{\ln\left(x\right)}{x^2}\right)$

Find the limit

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Find the limit

$\lim_{x\to\infty}\left(\frac{\sqrt[3]{x^3-2x^2+3}}{2x+1}\right)$

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$\lim_{x\to\infty}\left(xe^{-x}\right)$

Find the limit

$\lim_{x\to\infty}\left(\frac{\ln x}{\sqrt{x}}\right)$

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$\lim_{x\to\infty}\left(\frac{e^x}{x}\right)$

Main Topic: Limits to Infinity

The limit of a function f(x) when x tends to infinity is the value that the function takes as the value of x grows indefinitely.

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