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Beliebt Rechnen >

limit as h approaches 0 of (sin(h))/(6h)

Lösung

h \to 0 lim (\frac{sin ( h )}{6 h})

Lösung

\frac{1}{6}

+1

Dezimale

0.16666 \dots

Schritte zur Lösung

h \to 0 lim (\frac{sin ( h )}{6 h})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{1}{6} \cdot h \to 0 lim (\frac{sin ( h )}{h})

Wende das L'Hopital Theorem an

= \frac{1}{6} \cdot h \to 0 lim (\frac{cos ( h )}{1})

Setze den Wert

h = 0

ein

= \frac{1}{6} \cdot \frac{cos ( 0 )}{1}

Vereinfache

\frac{1}{6} \cdot \frac{cos ( 0 )}{1} : \frac{1}{6}

= \frac{1}{6}

Graph

Beliebte Beispiele

derivative of sqrt(7+x)

\frac{d}{d x} (7 + x)

limit as x approaches infinity of 0/(+x)

x \to \infty lim (\frac{0}{+ x})

y^{''}+2y^'-3y=e^{-x},y(0)=0

y^{^{''}} + 2 y^{^{'}} - 3 y = e^{- x}, y (0) = 0

derivative f(x)= 4/(1-6x)

d er i v a t i v e f (x) = \frac{4}{1 - 6 x}

sum from n=1 to infinity of 4/(3^{n-1)}

n = 1 \sum \infty \frac{4}{3 ^{n - 1}}