limit as x approaches 1 of (x^2-2x+1)cos(e^{1/(x-1)})

Lösung

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

0

Schritte zur Lösung

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

Wenn

x \to a - lim f (x) = x \to a + lim f (x) = L

dann

x \to a lim f (x) = L

x \to 1 - lim ((x^{2} - 2 x + 1) cos (e^{\frac{1}{x - 1}})) = 0

x \to 1 + lim ((x^{2} - 2 x + 1) cos (e^{\frac{1}{x - 1}})) = 0

= 0

x \to \infty lim ([2, x])

\int (sin^{2} (x) - cos^{2} (x)) d x

\frac{d ^{5}}{d x ^{5}} (\frac{1}{x})

\int e^{x} cot (e^{x}) d x

x \to - 6 - lim (\frac{- 8 x}{x + 6})