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Beliebt Rechnen >

limit as x approaches 0 of (sqrt(2(x+h(x)))-sqrt(2x))/(h(x))

Lösung

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

Lösung

\frac{2}{h ( 0 )}

Schritte zur Lösung

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

Plug in the value

x = 0

, assuming the function is continuous at this point

= \frac{2 ( 0 + h ( 0 ) ) - 2 \cdot 0}{h ( 0 )}

Vereinfache

\frac{2 ( 0 + h ( 0 ) ) - 2 \cdot 0}{h ( 0 )} : \frac{2}{h ( 0 )}

= \frac{2}{h ( 0 )}

Graph

Beliebte Beispiele

y^{''}+y=0,y(0)=1,y^'(0)=1

y^{^{''}} + y = 0, y (0) = 1, y^{^{'}} (0) = 1

laplacetransform 5t^3

l a pl a ce t r an s f or m 5 t^{3}

derivative of \sqrt[3]{1+x^2}

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

f (t) = 6 cos (2 t)

integral of 1/4 x^2-1/2 ln(x)

\int \frac{1}{4} x^{2} - \frac{1}{2} ln (x) d x