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Find the limit of $\left(\frac{x+1}{3x-1}\right)^{\frac{1}{x-1}}$ as $x$ approaches $1$

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 Solution

 Videos

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

https://www.youtube.com/watch?v=1ct7LUx23io

Limit of (sin x)/x as x approaches 0

https://www.youtube.com/watch?v=5xitzTutKqM

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

Find the vertical and horizontal asymptotes

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

Solve for the Zeros Using Quadratic Formula

https://www.youtube.com/watch?v=tv7b5l5UT4Q

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

 Function Plot

Plotting: $\left(\frac{x+1}{3x-1}\right)^{\frac{1}{x-1}}$

 Main Topic: Limits of Exponential Functions

Those are limits of expressions of the form f(x)^g(x).

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