limit as x approaches 0+of (sin(x))/(x^{1/2)}

Lösung

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

0

Schritte zur Lösung

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

Wende das L'Hopital Theorem an

= x \to 0 + lim (\frac{cos ( x )}{\frac{1}{2 x ^{\frac{1}{2}}}})

Vereinfache

= x \to 0 + lim (2 x^{\frac{1}{2}} cos (x))

Setze den Wert

x = 0

ein

= 2 \cdot 0^{\frac{1}{2}} cos (0)

Vereinfache

2 \cdot 0^{\frac{1}{2}} cos (0) : 0

= 0

\int_{- \infty}^{0} x^{2} e^{- x} d x

\frac{d}{d x} ((1 - x) e^{x})

a re a 2 y = 3 x, 2 y + 3 x = 6, y = 4

\int_{\frac{π}{2}}^{π} cos (x) d x

\int \frac{1}{e ^{x} + 4 e ^{- x}} d x