limit as s approaches 0 of (-1/s}{1+(3+\frac{13)/s)(7/(xs+1))}

Lösung

s \to 0 lim (\frac{- \frac{1}{s}}{1 + ( 3 + \frac{13}{s} ) ( \frac{7}{x s + 1} )})

- \frac{1}{91}

Dezimale

- 0.01098 \dots

Schritte zur Lösung

s \to 0 lim (\frac{- \frac{1}{s}}{1 + ( 3 + \frac{13}{s} ) \frac{7}{x s + 1}})

Vereinfache

\frac{- \frac{1}{s}}{1 + ( 3 + \frac{13}{s} ) \frac{7}{x s + 1}} : - \frac{s x + 1}{s ^{2} x + 22 s + 91}

= s \to 0 lim (- \frac{s x + 1}{s ^{2} x + 22 s + 91})

Setze den Wert

s = 0

ein

= - \frac{0 \cdot x + 1}{0 ^{2} x + 22 \cdot 0 + 91}

Vereinfache

- \frac{0 \cdot x + 1}{0 ^{2} x + 22 \cdot 0 + 91} : - \frac{1}{91}

= - \frac{1}{91}

x \to 1 + lim (\frac{3}{∣ x - 1 ∣})

ma c l a u r in x^{3}

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

x \to 0 lim (x ln (5 x))

\int \frac{x}{2 + x ^{4}} d x