What is the limit as x approaches 0 of (1-e^{4x})^x ?

The limit as x approaches 0 of (1-e^{4x})^x is Does not exist

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limit as x approaches 0 of (1-e^{4x})^x

x \to 0 lim ((1 - e^{4 x})^{x})

Does not exist

Solution steps

x \to 0 lim ((1 - e^{4 x})^{x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim ((1 - e^{4 x})^{x}) =

Does not exist

x \to 0 - lim ((1 - e^{4 x})^{x}) = 1

= Does not exist

n = 1 \sum \infty n^{- \frac{1}{6}}

\frac{d}{d x} (sin^{3} (cos (2 x)))

\int \frac{1}{25 + x ^{2}} d x

\frac{d}{d x} (\frac{x ^{2} y ^{2}}{2} - 2 x y - y^{2})

(1 + y) d y = 2 t d t

What is the limit as x approaches 0 of (1-e^{4x})^x ?
The limit as x approaches 0 of (1-e^{4x})^x is Does not exist