de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

limit as x approaches 25 of (1/(sqrt(x))-1/5)/(x-25)

Lösung

x \to 25 lim (\frac{\frac{1}{x} - \frac{1}{5}}{x - 25})

Lösung

- \frac{1}{250}

+1

Dezimale

- 0.004

Schritte zur Lösung

x \to 25 lim (\frac{\frac{1}{x} - \frac{1}{5}}{x - 25})

Rationalisiere den Zähler

\frac{\frac{1}{x} - \frac{1}{5}}{x - 25} : - \frac{1}{5 x ( x + 5 )}

= x \to 25 lim (- \frac{1}{5 x ( x + 5 )})

Setze den Wert

x = 25

ein

= - \frac{1}{5 25 ( 25 + 5 )}

Vereinfache

- \frac{1}{5 25 ( 25 + 5 )} : - \frac{1}{250}

= - \frac{1}{250}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-y=10sin^2(x)

\frac{d ^{2} y}{d x ^{2}} - y = 10 sin^{2} (x)

derivative of sin(x^{ln(x}))

\frac{d}{d x} (sin (x^{l n (x)}))

derivative y=4sqrt(9-x^2)

d er i v a t i v e y = 4 9 - x^{2}

derivative of (x^2-1^{-1})

\frac{d}{d x} ((x^{2} - 1)^{- 1})

derivative f(x)=sqrt(9-16x)

d er i v a t i v e f (x) = 9 - 16 x