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Beliebt Rechnen >

limit as x approaches 0 of (sin(7x))/(tan(x))

Lösung

x \to 0 lim (\frac{sin ( 7 x )}{tan ( x )})

Lösung

7

Schritte zur Lösung

x \to 0 lim (\frac{sin ( 7 x )}{tan ( x )})

Wende das L'Hopital Theorem an

= x \to 0 lim (\frac{cos ( 7 x ) \cdot 7}{sec ^{2} ( x )})

Setze den Wert

x = 0

ein

= \frac{cos ( 7 \cdot 0 ) \cdot 7}{sec ^{2} ( 0 )}

Vereinfache

\frac{cos ( 7 \cdot 0 ) \cdot 7}{sec ^{2} ( 0 )} : 7

= 7

Graph

Beliebte Beispiele

integral of (2x^2+x-8)/(x^3-4x)

\int \frac{2 x ^{2} + x - 8}{x ^{3} - 4 x} d x

(2x-1)y^'+y^2=0

(2 x - 1) y^{^{'}} + y^{2} = 0

limit as x approaches 4+of 1

x \to 4 + lim (1)

integral of (sqrt(1+x))/(x^2)

\int \frac{1 + x}{x ^{2}} d x

(\partial)/(\partial x)(3x^4+5y^4+9xy)

\frac{\partial}{\partial x} (3 x^{4} + 5 y^{4} + 9 x y)