Find the limit of $\cos\left(\frac{x\ln\left(x\right)}{x^2-1}\right)^x$ as $x$ approaches $1$

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 Solution

 Videos

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

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

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

Calculus - How to find the limit of continuous functions, lim(x tends to -3) (x^2 - 8)

https://www.youtube.com/watch?v=RbT5vQajMio

Definite integral of rational function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=4WJUEXIksH0

Find the limit of $\cos\left(\frac{x\ln\left(x\right)}{x^2-1}\right)^x$ as $x$ approaches $1$

Related Videos

 Solution

 Videos

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

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

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

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

Calculus - How to find the limit of continuous functions, lim(x tends to -3) (x^2 - 8)

Definite integral of rational function | AP Calculus AB | Khan Academy

 Function Plot

Plotting: $\cos\left(\frac{x\ln\left(x\right)}{x^2-1}\right)^x$

 Main Topic: Integral Calculus

 Related Topics

Find the limit of $\cos\left(\frac{x\ln\left(x\right)}{x^2-1}\right)^x$ as $x$ approaches $1$

Related Videos

 Solution

 Videos

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

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

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

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

Calculus - How to find the limit of continuous functions, lim(x tends to -3) (x^2 - 8)

Definite integral of rational function | AP Calculus AB | Khan Academy

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 Function Plot

Plotting: $\cos\left(\frac{x\ln\left(x\right)}{x^2-1}\right)^x$

Similar Problems Solved

 Main Topic: Integral Calculus

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