limit as x approaches 0 of 1-2sin^2(x/2)

Lösung

x \to 0 lim (1 - 2 sin^{2} (\frac{x}{2}))

1

Schritte zur Lösung

x \to 0 lim (1 - 2 sin^{2} (\frac{x}{2}))

Setze den Wert

x = 0

ein

= 1 - 2 sin^{2} (\frac{0}{2})

Vereinfache

1 - 2 sin^{2} (\frac{0}{2}) : 1

= 1

x \to 1 + lim (2 x - 2 - 2)

\int \frac{6 x + 5}{3 x ^{2} + 5 x} d x

\int_{3}^{5} \frac{1}{x ^{2} - 9} d x

d er i v a t i v e f (x) = (x^{3} - 10 x) (3 x^{2} + 4 x)

a re a y = x^{2} ln (x), y = 4 ln (x)