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

Lösung

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

\infty

Schritte zur Lösung

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

\frac{x + 3}{x - 3} = (x + 3) \frac{1}{x - 3}

= x \to 3 + lim ((x + 3) \frac{1}{x - 3})

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

mit Einschränkung des unbestimmten Ausdrucks

= x \to 3 + lim (x + 3) \cdot x \to 3 + lim (\frac{1}{x - 3})

x \to 3 + lim (x + 3) = 6

x \to 3 + lim (\frac{1}{x - 3}) = \infty

= 6 \cdot \infty

Wende die Unendlichkeitseigenschaft an:

c \cdot \infty = \infty

= \infty

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

\int_{- 1}^{2} (x - 1) (2 x + 3) d x

\frac{d}{d x} (- 64 e^{- 4 x})

\int y cos (x) y d x

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