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

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

Popular >

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

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

\infty

Solution steps

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

\frac{x ^{3}}{x ^{2} - 1} = x^{3} \frac{1}{x ^{2} - 1}

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

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

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

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

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to \frac{1}{2} lim (12 + x - x^{2})

x \to 4 + lim (\frac{x}{( x - 4 ) ^{2}})

x \to 0 + lim (- 1 + ln (x) x)

x \to 0 lim (sin (x) cot (x))

x \to 1 lim (\frac{1}{0})

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