Question

limit as x -> infinity of (1+1/x)^(4x)

Answer 1

\[
\lim_{x\to \infty} \left(1+\frac1x\right)^{4x} = \left[\lim_{x\to \infty} \left(1+\frac1x\right)^x\right]^4 = e^4
\]

Answer 2

@wio how do you know that lim x-> infinity of (1+1/x)^x is e

Answer 3

It is the definition of \(e\)

Answer 4

LOLNERD

Answer 5

:P

Answer 6

At least one of them.