limit as x approaches 0-of (x+10)/(x^2)

Lösung

x \to 0 - lim (\frac{x + 10}{x ^{2}})

\infty

Schritte zur Lösung

x \to 0 - lim (\frac{x + 10}{x ^{2}})

\frac{x + 10}{x ^{2}} = (x + 10) \frac{1}{x ^{2}}

= x \to 0 - lim ((x + 10) \frac{1}{x ^{2}})

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 0 - lim (x + 10) \cdot x \to 0 - lim (\frac{1}{x ^{2}})

x \to 0 - lim (x + 10) = 10

x \to 0 - lim (\frac{1}{x ^{2}}) = \infty

= 10 \cdot \infty

Wende die Unendlichkeitseigenschaft an:

c \cdot \infty = \infty

= \infty

\int (8 x^{4} + 4 x^{3} - 6 x^{2} - 4 x + 5) d x

\frac{d}{d x} (5 x + 2 x^{5})

d er i v a t i v e f (x) = (5 x^{3} + 6 x^{2} + 4)^{8}

y^{^{''}} + 5 y^{^{'}} + 4 y = 8 x^{2} + 6 e^{- x}

\int x sin (\frac{1}{10} x) d x