limit as x approaches 1 of (x^4+3x^3-13x^2-27x+36)/(x^2+3x-4)

Lösung

x \to 1 lim (\frac{x ^{4} + 3 x ^{3} - 13 x ^{2} - 27 x + 36}{x ^{2} + 3 x - 4})

- 8

Schritte zur Lösung

x \to 1 lim (\frac{x ^{4} + 3 x ^{3} - 13 x ^{2} - 27 x + 36}{x ^{2} + 3 x - 4})

Vereinfache

\frac{x ^{4} + 3 x ^{3} - 13 x ^{2} - 27 x + 36}{x ^{2} + 3 x - 4} : (x + 3) (x - 3)

= x \to 1 lim ((x + 3) (x - 3))

Setze den Wert

x = 1

ein

= (1 + 3) (1 - 3)

Vereinfache

= - 8

h \to 0 lim (\frac{cosh ( - 1 )}{h})

x \to 10 lim (25 - x^{2})

x \to - 2 lim (9)

x \to 8 lim (\frac{x ^{2} - 1}{x - 1})

x \to π lim (2 cos (x) + e^{x})