limit as x approaches 3-of |(x-3)/(x-3)|

Lösung

x \to 3 - lim (\frac{x - 3}{x - 3})

1

Schritte zur Lösung

x \to 3 - lim (\frac{x - 3}{x - 3})

\frac{x - 3}{x - 3}

ist positiv wenn

x \to 3 -

. Deshalb

\frac{x - 3}{x - 3} = \frac{x - 3}{x - 3}

= x \to 3 - lim (\frac{x - 3}{x - 3})

Vereinfache

= x \to 3 - lim (1)

x \to a lim c = c

= 1

\int \frac{3}{x ^{2} - 8 x + 25} d x

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

\int e^{2 t} t d t

\frac{\partial}{\partial x} (e^{x + x y - 2 y})

d er i v a t i v e f (x) = 5 x^{2} - 6 x + 6 + ln (x)