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

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

Popular >

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

x \to 2 - lim (\frac{x ^{3} + 1}{x - 2})

- \infty

Solution steps

x \to 2 - lim (\frac{x ^{3} + 1}{x - 2})

\frac{x ^{3} + 1}{x - 2} = (x^{3} + 1) \frac{1}{x - 2}

= x \to 2 - lim ((x^{3} + 1) \frac{1}{x - 2})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 2 - lim (x^{3} + 1) \cdot x \to 2 - lim (\frac{1}{x - 2})

x \to 2 - lim (x^{3} + 1) = 9

x \to 2 - lim (\frac{1}{x - 2}) = - \infty

= 9 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

\int \frac{1}{( x + 5 ) ^{2} ( x - 3 )} d x

\frac{\partial}{\partial y} (4 x y - x^{4} - y^{4} + 1)

n = 2 \sum \infty \frac{( 3 x - 2 ) ^{n}}{n}

g (x) = 5 x^{2} tan (1 - x)

\int \frac{x}{x ^{2} - 15} d x

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