Find the limit of $\left(\frac{1-\cos\left(x\right)\sqrt{\cos\left(2x\right)}}{\tan\left(x\right)^2}\right)^{\frac{1}{x^2}}$ as $x$ approaches 0

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 Solution

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Find the limit of $\left(\frac{1-\cos\left(x\right)\sqrt{\cos\left(2x\right)}}{\tan\left(x\right)^2}\right)^{\frac{1}{x^2}}$ as $x$ approaches 0

Related Videos

 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)

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

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

Pre-Calculus - Operations with functions, f(x) = x^2 +3 ,g(x) = 2x-1

Power Series Representation With Natural Logarithms - Calculus 2

Analyzing unbounded limits: mixed function | Limits and continuity | AP Calculus AB | Khan Academy

 Function Plot

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

 Main Topic: Limits of Exponential Functions

 Related Topics

Find the limit of $\left(\frac{1-\cos\left(x\right)\sqrt{\cos\left(2x\right)}}{\tan\left(x\right)^2}\right)^{\frac{1}{x^2}}$ as $x$ approaches 0

Related Videos

 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)

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

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

Pre-Calculus - Operations with functions, f(x) = x^2 +3 ,g(x) = 2x-1

Power Series Representation With Natural Logarithms - Calculus 2

Analyzing unbounded limits: mixed function | Limits and continuity | AP Calculus AB | Khan Academy

 Share this solution with your friends!

 Function Plot

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

Similar Problems Solved

 Main Topic: Limits of Exponential Functions

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