limit as x approaches 5/4 of (16x^2-25)/(4x-5)

Lösung

x \to \frac{5}{4} lim (\frac{16 x ^{2} - 25}{4 x - 5})

10

Schritte zur Lösung

x \to \frac{5}{4} lim (\frac{16 x ^{2} - 25}{4 x - 5})

Vereinfache

\frac{16 x ^{2} - 25}{4 x - 5} : 4 x + 5

= x \to \frac{5}{4} lim (4 x + 5)

Setze den Wert

x = \frac{5}{4}

ein

= 4 \cdot \frac{5}{4} + 5

Vereinfache

4 \cdot \frac{5}{4} + 5 : 10

= 10

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