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Beliebt Rechnen >

limit as (x,y) approaches (pi, pi/2) of ysin(x-y)

Lösung

(x, y) \to (π, \frac{π}{2}) lim (y sin (x - y))

Lösung

\frac{π}{2}

+1

Dezimale

1.57079 \dots

Schritte zur Lösung

(x, y) \to (π, \frac{π}{2}) lim (y sin (x - y))

Setze den Wert

(x, y) = (π, \frac{π}{2})

ein

= \frac{π}{2} sin (π - \frac{π}{2})

Vereinfache

\frac{π}{2} sin (π - \frac{π}{2}) : \frac{π}{2}

= \frac{π}{2}

Beliebte Beispiele

tangent f(x)=(x^2-8)^5,\at x=3

t an g e n t f (x) = (x^{2} - 8)^{5}, at x = 3

limit as (x,y) approaches (0,0) of y/x

(x, y) \to (0, 0) lim (\frac{y}{x})

tangent f(x)=(x^2-48)^4

t an g e n t f (x) = (x^{2} - 48)^{4}

derivative of 6x^{1/3}

\frac{d}{d x} (6 x^{\frac{1}{3}})

integral of 11tan^3(θ)

\int 11 tan^{3} (θ) d θ