limit as x approaches 4 of (2/(x+1)-4/(x+6))/(x+4)

Lösung

x \to 4 lim (\frac{\frac{2}{x + 1} - \frac{4}{x + 6}}{x + 4})

0

Schritte zur Lösung

x \to 4 lim (\frac{\frac{2}{x + 1} - \frac{4}{x + 6}}{x + 4})

Setze den Wert

x = 4

ein

= \frac{\frac{2}{4 + 1} - \frac{4}{4 + 6}}{4 + 4}

Vereinfache

\frac{\frac{2}{4 + 1} - \frac{4}{4 + 6}}{4 + 4} : 0

= 0

x \to 0 lim (\frac{2}{- sin ( x )})

x \to - \frac{5}{2} lim (\frac{( 8 x ^{3} + 125 )}{6 x ^{2} + 23 x + 20})

x \to 1 lim (\frac{x + 1}{x})

x \to \infty lim (5 - (- 2))

h \to 0 lim (\frac{x ^{2} + 2 x h + h ^{2} + 1}{h} - \frac{x ^{2} + 1}{h})