limit as x approaches 0-of 1/x-cot(x)

Lösung

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

0

Schritte zur Lösung

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

Multipliziere mit der Konjugation von

\frac{1}{x} - cot (x) : \frac{\frac{1}{x ^{2}} - cot ^{2} ( x )}{\frac{1}{x} + cot ( x )}

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

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

mit Einschränkung des unbestimmten Ausdrucks

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

x \to 0 - lim (\frac{1}{x ^{2}} - cot^{2} (x)) = \frac{2}{3}

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

= \frac{\frac{2}{3}}{- \infty}

Wende die Unendlichkeitseigenschaft an:

\frac{c}{- \infty} = 0

= 0

\frac{d}{d x} (- 2 x^{3} - 7 x + 5)

f (x) = x^{π}

\frac{d x}{d y} = x

l a pl a ce t r an s f or m t - 4

f (x) = - x^{3}