limit as x approaches 0+of x^{-4/(ln(x))}

Lösung

x \to 0 + lim (x^{- \frac{4}{l n ( x )}})

\frac{1}{e ^{4}}

Dezimale

0.01831 \dots

Schritte zur Lösung

x \to 0 + lim (x^{- \frac{4}{l n ( x )}})

Wende Exponentenregel an

= x \to 0 + lim (e^{- \frac{4}{l n ( x )} l n (x)})

e^{- \frac{4}{l n ( x )} l n (x)} = \frac{1}{e ^{4}}

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

x \to a lim c = c

= \frac{1}{e ^{4}}

x \to 0 - lim (\frac{- 1}{x})

d er i v a t i v e y = lo g_{5} (5 x + 4)

\frac{\partial}{\partial y} (4 - x^{2} - 4 y^{2})

\frac{\partial}{\partial x} ((x - y)^{4})

\int \frac{8 + 7 x}{1 + x ^{2}} d x