limit as x approaches 0 of (sin(x))/x-1

Lösung

x \to 0 lim (\frac{sin ( x )}{x} - 1)

0

Schritte zur Lösung

x \to 0 lim (\frac{sin ( x )}{x} - 1)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

mit Einschränkung des unbestimmten Ausdrucks

= x \to 0 lim (\frac{sin ( x )}{x}) - x \to 0 lim (1)

x \to 0 lim (\frac{sin ( x )}{x}) = 1

x \to 0 lim (1) = 1

= 1 - 1

Vereinfache

= 0

\int_{2}^{5} \frac{1}{x - 2} d x

d er i v a t i v e f (x) = (2 x^{3} + 5 x) (x - 3) (x + 2)

x \to π lim (3 cot (x))

\int \frac{15 e ^{5 r}}{e ^{5 r} + 2} d r

t an g e n t y = - 3 cos (x), at x = \frac{3 π}{4}