What is the limit as x approaches 1 of (x-x^3)/(x-1) ?

The limit as x approaches 1 of (x-x^3)/(x-1) is -2

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limit as x approaches 1 of (x-x^3)/(x-1)

x \to 1 lim (\frac{x - x ^{3}}{x - 1})

- 2

Solution steps

x \to 1 lim (\frac{x - x ^{3}}{x - 1})

Simplify

\frac{x - x ^{3}}{x - 1} : - x (x + 1)

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

Plug in the value

x = 1

= - 1 \cdot (1 + 1)

Simplify

= - 2

\frac{d}{d x} (\frac{d ^{2}}{d x ^{2}} (x^{4}) + cos (x) + 1)

\int 3 x^{3} e^{5 x^{4}} d x

y^{^{''}} + 3 y^{^{'}} - 10 y = 0

\frac{d}{d x} (e^{x^{4}} \cdot 4 x^{3})

x^{^{''}} + k x = 0

What is the limit as x approaches 1 of (x-x^3)/(x-1) ?
The limit as x approaches 1 of (x-x^3)/(x-1) is -2