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Beliebt Rechnen >

limit as x approaches 0 of (x^2-1)/(x^2)

Lösung

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

Lösung

- \infty

Schritte zur Lösung

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

Wenn

x \to a - lim f (x) = x \to a + lim f (x) = L

dann

x \to a lim f (x) = L

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

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

= - \infty

Graph

Beliebte Beispiele

derivative (3x-8)/(sqrt(x))

d er i v a t i v e \frac{3 x - 8}{x}

derivative of (e^x+e^{-x}/2)

\frac{d}{d x} (\frac{e ^{x} + e ^{- x}}{2})

y^{''}-10y^'+25y=0,y(0)=-3,y^'(0)=-29/2

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = - 3, y^{^{'}} (0) = - \frac{29}{2}

derivative f(x)=-(13)/(x^4)

d er i v a t i v e f (x) = - \frac{13}{x ^{4}}

integral of ((2x+3))/((x+1)^2)

\int \frac{( 2 x + 3 )}{( x + 1 ) ^{2}} d x