What is the limit as x approaches 9-of x/(x^2-81) ?

The limit as x approaches 9-of x/(x^2-81) is -infinity

Popular >

limit as x approaches 9-of x/(x^2-81)

x \to 9 - lim (\frac{x}{x ^{2} - 81})

- \infty

Solution steps

x \to 9 - lim (\frac{x}{x ^{2} - 81})

\frac{x}{x ^{2} - 81} = x \frac{1}{x ^{2} - 81}

= x \to 9 - lim (x \frac{1}{x ^{2} - 81})

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 9 - lim (x) \cdot x \to 9 - lim (\frac{1}{x ^{2} - 81})

x \to 9 - lim (x) = 9

x \to 9 - lim (\frac{1}{x ^{2} - 81}) = - \infty

= 9 (- \infty)

Apply Infinity Property:

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

= - \infty

x \to 0 + lim (e^{x^{x}})

x \to 0 lim ((1 + 6 x)^{\frac{1}{x}})

x \to 0 lim (\frac{2 x ^{2} + x}{5 x})

x \to 2 lim (\frac{( x - 2 )}{x - 2})

x \to 0 + lim (5 x ln (x))

What is the limit as x approaches 9-of x/(x^2-81) ?
The limit as x approaches 9-of x/(x^2-81) is -infinity