limit as x approaches 0+of tan(xln(x))

Lösung

x \to 0 + lim (tan (x ln (x)))

0

Schritte zur Lösung

x \to 0 + lim (tan (x ln (x)))

Drücke mit sin, cos aus

= x \to 0 + lim (\frac{sin ( x ln ( x ) )}{cos ( x ln ( x ) )})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

mit Einschränkung des unbestimmten Ausdrucks

= \frac{lim _{x \to 0 +} ( sin ( x ln ( x ) ) )}{lim _{x \to 0 +} ( cos ( x ln ( x ) ) )}

x \to 0 + lim (sin (x ln (x))) = 0

x \to 0 + lim (cos (x ln (x))) = 1

= \frac{0}{1}

Wende Regel an

\frac{0}{a} = 0, a \neq = 0

= 0

x \to - \frac{π}{2} - lim (7 sin (x) + 9)

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

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

x \to \infty lim (- 3 x^{5})

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