limit as x approaches infinity of 4^{2x}

Lösung

x \to \infty lim (4^{2 x})

\infty

Schritte zur Lösung

x \to \infty lim (4^{2 x})

Vereinfache

4^{2 x} : 1 6^{x}

= x \to \infty lim (1 6^{x})

Wende die allgemeine Grenze an:

x \to \infty lim (a^{x}) = \infty, a > 1

= \infty

x \to \infty lim (5 (x))

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

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

x \to - 4 lim (\frac{1}{( x + 4 ) ^{2}})

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