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Beliebt Rechnen >

limit as x approaches pi/4 of (sin(2x)-1)/(4x-pi)

Lösung

x \to \frac{π}{4} lim (\frac{sin ( 2 x ) - 1}{4 x - π})

Lösung

0

Schritte zur Lösung

x \to \frac{π}{4} lim (\frac{sin ( 2 x ) - 1}{4 x - π})

Wende das L'Hopital Theorem an

= x \to \frac{π}{4} lim (\frac{2 cos ( 2 x )}{4})

Setze den Wert

x = \frac{π}{4}

ein

= \frac{2 cos ( 2 \cdot \frac{π}{4} )}{4}

Vereinfache

\frac{2 cos ( 2 \cdot \frac{π}{4} )}{4} : 0

= 0

Graph

Beliebte Beispiele

derivative of cos(2x+3y)

\frac{d}{d x} (cos (2 x + 3 y))

y^{''}-16y^'+63y=240e^x

y^{^{''}} - 16 y^{^{'}} + 63 y = 240 e^{x}

integral of (x-5)/(x^2+2x-3)

\int \frac{x - 5}{x ^{2} + 2 x - 3} d x

tangent f(x)= 3/(5x+2),\at x=-1

t an g e n t f (x) = \frac{3}{5 x + 2}, at x = - 1

integral of (2x+1)^{5/6}

\int (2 x + 1)^{\frac{5}{6}} d x