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Evaluate

e^{2} + 2 \approx 9.389056099

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10 problems similar to:

e^{2} + 2

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1 + e^{2 i}

e^{i} cos (1)

https://math.stackexchange.com/questions/959251/convert-1-e2i-to-ei-cos1

There's a factor of

2

missing. Generally,

1 + e^{2 i φ} = e^{i φ} (e^{- i φ} + e^{i φ}) = e^{i φ} \cdot 2 cos φ

cos φ = \frac{e ^{i φ} + e ^{- i φ}}{2} .

What value does

1 + N e^{2}

represent in Slovin's formula,

n = \frac{N}{1 + N e ^{2}}

https://www.quora.com/What-value-does-1+Ne-2-represent-in-Slovins-formula-n-tfrac-N-1+Ne-2

Jerrel, Justin has given a correct answer but there is more to your question. As Justin says, e is the 'confidence level' in % - 1. That is not the same as the 'margin of error' (such as you see ...

Find the closest point on

y = \frac{1}{e} x + e^{2} + 1

y = ln (x)

https://math.stackexchange.com/questions/416275/find-the-closest-point-on-y-frac1exe21-to-the-curve-y-lnx

If you are trying to find the minimum vertical distance, then your method is correct, but your answer is not. However, you do not seem to have a firm grip on the problem. You seem to be hand waving ...

Using the Metric in Book Gravitation (MTW)

https://physics.stackexchange.com/questions/241606/using-the-metric-in-book-gravitation-mtw

It's a bit hard to see in this typography, but the two p are supposed to be different. The p on the l.h.s. is the four-momentum

p = (p^{0}, p^{1}, p^{2}, p^{3})^{T}

, the one on the r.h.s is the three-momentum

p = (p^{1}, p^{2}, p^{3})^{T}

Calculating limit of sequence by Euler

e

https://math.stackexchange.com/questions/1449548/calculating-limit-of-sequence-by-euler-e

Those substitutions work because

f (x) = (1 + 1 / x)^{x}

is an increasing function for

x > 0

f (x)

is monotone and

n \to \infty lim f (n) = L

then for every divergent sequence

a_{n}

n \to \infty lim a_{n} = + \infty

Ideals of a two-dimensional algebra with a given basis

https://math.stackexchange.com/questions/2904109/ideals-of-a-two-dimensional-algebra-with-a-given-basis

One way to look at this (I am not claiming that is the best ...) is to realize

A

\frac{R [ X ]}{( X ^{2} )} or \frac{R [ X ]}{( X ^{2} - 1 )}

and use the following ...

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\frac{d}{d x} \frac{( 3 x ^{2} - 2 )}{( x - 5 )}

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x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}

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