limit as x approaches 0 of (x+pisec(x))/(x^2-pi^2)

Lösung

x \to 0 lim (\frac{x + π sec ( x )}{x ^{2} - π ^{2}})

- \frac{1}{π}

Dezimale

- 0.31830 \dots

Schritte zur Lösung

x \to 0 lim (\frac{x + π sec ( x )}{x ^{2} - π ^{2}})

Setze den Wert

x = 0

ein

= \frac{0 + π sec ( 0 )}{0 ^{2} - π ^{2}}

Vereinfache

\frac{0 + π sec ( 0 )}{0 ^{2} - π ^{2}} : - \frac{1}{π}

= - \frac{1}{π}

x \to 0 lim (3 x)

z \to 0 lim (\frac{∣ x ∣ - z}{z})

x \to \infty lim (- x + 3)

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

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