limit as x approaches pi/6 of 2^{sin(x)}

Lösung

x \to \frac{π}{6} lim (2^{s i n (x)})

2

Dezimale

1.41421 \dots

Schritte zur Lösung

x \to \frac{π}{6} lim (2^{s i n (x)})

Setze den Wert

x = \frac{π}{6}

ein

= 2^{s i n (\frac{π}{6})}

Vereinfache

2^{s i n (\frac{π}{6})} : 2

= 2

x \to π - lim (tan (x))

x \to - 4 lim (x^{2} + 8 x + 11)

x \to 1 lim (3 x + 1)

x \to \infty lim ((x^{2} + 2 x - x)^{\frac{6}{x} l n (c o s (\frac{1}{x}))})

x \to \infty lim (\frac{x \cdot e ^{- x}}{x})