limit as x approaches 3 of (sin(x^2))/x

Lösung

x \to 3 lim (\frac{sin ( x ^{2} )}{x})

\frac{1}{3} sin (9)

Dezimale

0.13737 \dots

Schritte zur Lösung

x \to 3 lim (\frac{sin ( x ^{2} )}{x})

Setze den Wert

x = 3

ein

= \frac{sin ( 3 ^{2} )}{3}

Vereinfache

\frac{sin ( 3 ^{2} )}{3} : \frac{1}{3} sin (9)

= \frac{1}{3} sin (9)

x \to 3 lim (ln (x) - x^{2} + 2)

x \to 3 lim (2 (x^{2} - 3 x + 4))

x \to 3 lim (\frac{1}{( x + 1 )})

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

x \to 3 lim (h (x) 3 x - 1)