limit as x approaches 0 of (sin(a)x)/x

Lösung

x \to 0 lim (\frac{sin ( a ) x}{x})

sin (a)

Schritte zur Lösung

x \to 0 lim (\frac{sin ( a ) x}{x})

Streiche die gemeinsamen Faktoren:

x

= x \to 0 lim (sin (a))

x \to a lim c = c

= sin (a)

x \to 0 lim (x^{3} + \frac{cos ( 5 x )}{10000})

x \to - 1 lim ((\frac{1}{2})^{x})

x \to 2 lim (- 5 x)

x \to 0 - lim (x^{2} + 1)

x \to 2 lim (x^{2} - 2 x + 3)