limit as t approaches 0 of (sin(3t)+4t)/(tsec(t))

Lösung

t \to 0 lim (\frac{sin ( 3 t ) + 4 t}{t sec ( t )})

7

Schritte zur Lösung

t \to 0 lim (\frac{sin ( 3 t ) + 4 t}{t sec ( t )})

Wende das L'Hopital Theorem an

= t \to 0 lim (\frac{cos ( 3 t ) \cdot 3 + 4}{sec ( t ) + t sec ( t ) tan ( t )})

Setze den Wert

t = 0

ein

= \frac{cos ( 3 \cdot 0 ) \cdot 3 + 4}{sec ( 0 ) + 0 \cdot sec ( 0 ) tan ( 0 )}

Vereinfache

\frac{cos ( 3 \cdot 0 ) \cdot 3 + 4}{sec ( 0 ) + 0 \cdot sec ( 0 ) tan ( 0 )} : 7

= 7

\frac{\partial}{\partial y} (5 x ln (x y))

\frac{\partial}{\partial x} (y^{2} cos (x))

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\frac{d}{d x} (\frac{x ^{3} - 2 x + 4}{x ^{3}})

\int x (5 x - 3)^{2} d x