limit as x approaches 1 of (x^2+1)/(x+2)

Lösung

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

\frac{2}{3}

Dezimale

0.66666 \dots

Schritte zur Lösung

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

Setze den Wert

x = 1

ein

= \frac{1 ^{2} + 1}{1 + 2}

Vereinfache

= \frac{2}{3}

x \to \frac{2}{3} lim (3 x (2 x - 1))

x \to 0 lim (\frac{( 6 ^{x} - 2 ^{x} )}{x})

x \to 0 lim (x^{3} (sin (x) - 1))

x \to 0 + lim (1 + x^{3})

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