limit as h approaches 0 of (1/(1+h)-1)/h

Lösung

h \to 0 lim (\frac{\frac{1}{1 + h} - 1}{h})

- 1

Schritte zur Lösung

h \to 0 lim (\frac{\frac{1}{1 + h} - 1}{h})

Vereinfache

\frac{\frac{1}{1 + h} - 1}{h} : - \frac{1}{1 + h}

= h \to 0 lim (- \frac{1}{1 + h})

Setze den Wert

h = 0

ein

= - \frac{1}{1 + 0}

Vereinfache

= - 1

\int \frac{5}{6} x^{\frac{6}{5}} d x

a re a f (x) = 12 x + x^{2} - x^{3}, g (x) = 0

d er i v a t i v e \frac{s - 7}{s + 3}

s l o p e \frac{( x ^{2} )}{x + 7}

\frac{\partial}{\partial x} (x^{2} + y^{2} + (x + y)^{2})