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Beliebt Rechnen >

limit as x approaches 4 of arctan((x^2-16)/(7x^2-28x))

Lösung

x \to 4 lim (arctan (\frac{x ^{2} - 16}{7 x ^{2} - 28 x}))

Lösung

arctan (\frac{2}{7})

+1

Dezimale

0.27829 \dots

Schritte zur Lösung

x \to 4 lim (arctan (\frac{x ^{2} - 16}{7 x ^{2} - 28 x}))

\frac{x ^{2} - 16}{7 x ^{2} - 28 x} = \frac{x + 4}{7 x}

= x \to 4 lim (arctan (\frac{x + 4}{7 x}))

Setze den Wert

x = 4

ein

= arctan (\frac{4 + 4}{7 \cdot 4})

\frac{4 + 4}{7 \cdot 4} = \frac{2}{7}

= arctan (\frac{2}{7})

Graph

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