What is the limit as x approaches 8 of x/(x^2-64) ?

The limit as x approaches 8 of x/(x^2-64) is diverges

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limit as x approaches 8 of x/(x^2-64)

x \to 8 lim (\frac{x}{x ^{2} - 64})

diverges

Solution steps

x \to 8 lim (\frac{x}{x ^{2} - 64})

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

then the limit does not exist

x \to 8 + lim (\frac{x}{x ^{2} - 64}) = \infty

x \to 8 - lim (\frac{x}{x ^{2} - 64}) = - \infty

= diverges

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\int \frac{sin ( 5 x )}{e ^{c o s (5 x) - 1}} d x

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x e^{- x + 1} 1

What is the limit as x approaches 8 of x/(x^2-64) ?
The limit as x approaches 8 of x/(x^2-64) is diverges