limit as x approaches-8+of (x+9)/(x+8)

Lösung

x \to - 8 + lim (\frac{x + 9}{x + 8})

\infty

Schritte zur Lösung

x \to - 8 + lim (\frac{x + 9}{x + 8})

\frac{x + 9}{x + 8} = (x + 9) \frac{1}{x + 8}

= x \to - 8 + lim ((x + 9) \frac{1}{x + 8})

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 - 8 + lim (x + 9) \cdot x \to - 8 + lim (\frac{1}{x + 8})

x \to - 8 + lim (x + 9) = 1

x \to - 8 + lim (\frac{1}{x + 8}) = \infty

= 1 \cdot \infty

Wende die Unendlichkeitseigenschaft an:

c \cdot \infty = \infty

= \infty

t an g e n t f (x) = x^{2} - 2 x, at x = - 2

\int \frac{1}{t ^{5}} d t

t an g e n t f (x) = x^{4} + 6 x^{2} - x, (1, 6)

d er i v a t i v e \frac{3}{x ^{7}}

2 x y^{^{'}} + 7 y = 7 x^{4}, y (1) = 4