Find the limit of $\left(\frac{\left(n+1\right)^2-4}{\left(n+1\right)^2}\right)^{\left(\left(n+1\right)^2\right)}$ as $n$ approaches 0

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Solving: $\lim_{n\to0}\left(\left(\frac{\left(n+1\right)^2-4}{\left(n+1\right)^2}\right)^{\left(\left(n+1\right)^2\right)}\right)$

Solve instead: $\lim_{x\to0}\left(\frac{\left(n+1\right)^2-4}{\left(n+1\right)^2}\right)^{\left(n+1\right)^2}$

 Solution

 Videos

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

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https://www.youtube.com/watch?v=lTmwVQFNM7E

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

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

 Function Plot

Plotting: $\left(\frac{\left(n+1\right)^2-4}{\left(n+1\right)^2}\right)^{\left(\left(n+1\right)^2\right)}$

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