What is the limit as x approaches 6 of x/(x^2-36) ?

The limit as x approaches 6 of x/(x^2-36) is diverges

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limit as x approaches 6 of x/(x^2-36)

x \to 6 lim (\frac{x}{x ^{2} - 36})

diverges

Solution steps

x \to 6 lim (\frac{x}{x ^{2} - 36})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 6 + lim (\frac{x}{x ^{2} - 36}) = \infty

x \to 6 - lim (\frac{x}{x ^{2} - 36}) = - \infty

= diverges

\frac{d x}{d t} + x = - e^{t}

\frac{d}{d x} ((3 t^{2} - t + a^{2})^{101})

x \to + 3 + lim (\frac{7}{x - 3})

\frac{\partial}{\partial x} (- 2 y)

\int \frac{a ^{2} + x ^{2}}{x ^{4}} d x

What is the limit as x approaches 6 of x/(x^2-36) ?
The limit as x approaches 6 of x/(x^2-36) is diverges