limit as x approaches 7-of ((x^2-5x-14))/(x^2-49)

Lösung

x \to 7 - lim (\frac{( x ^{2} - 5 x - 14 )}{x ^{2} - 49})

\frac{9}{14}

Dezimale

0.64285 \dots

Schritte zur Lösung

x \to 7 - lim (\frac{x ^{2} - 5 x - 14}{x ^{2} - 49})

Vereinfache

\frac{x ^{2} - 5 x - 14}{x ^{2} - 49} : \frac{x + 2}{x + 7}

= x \to 7 - lim (\frac{x + 2}{x + 7})

Setze den Wert

x = 7

ein

= \frac{7 + 2}{7 + 7}

Vereinfache

= \frac{9}{14}

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