limit as x approaches 2+of (x+7)/(x^2-4)

Lösung

x \to 2 + lim (\frac{x + 7}{x ^{2} - 4})

\infty

Schritte zur Lösung

x \to 2 + lim (\frac{x + 7}{x ^{2} - 4})

\frac{x + 7}{x ^{2} - 4} = (x + 7) \frac{1}{x ^{2} - 4}

= x \to 2 + lim ((x + 7) \frac{1}{x ^{2} - 4})

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 2 + lim (x + 7) \cdot x \to 2 + lim (\frac{1}{x ^{2} - 4})

x \to 2 + lim (x + 7) = 9

x \to 2 + lim (\frac{1}{x ^{2} - 4}) = \infty

= 9 \cdot \infty

Wende die Unendlichkeitseigenschaft an:

c \cdot \infty = \infty

= \infty

x \to 0 lim (\frac{1 - cos ( 9 x )}{x})

d er i v a t i v e f (x) e^{6} + ln (4)

\int_{0}^{\frac{π}{2}} 17 sin^{2} (2 x) d x

\frac{\partial}{\partial y} (ln (x - 4 y))

l c m f (x) =, \frac{1}{x}