What is the limit as x approaches 10 of x/(x^2-100) ?

The limit as x approaches 10 of x/(x^2-100) is diverges

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limit as x approaches 10 of x/(x^2-100)

x \to 10 lim (\frac{x}{x ^{2} - 100})

diverges

Solution steps

x \to 10 lim (\frac{x}{x ^{2} - 100})

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

then the limit does not exist

x \to 10 + lim (\frac{x}{x ^{2} - 100}) = \infty

x \to 10 - lim (\frac{x}{x ^{2} - 100}) = - \infty

= diverges

\frac{d}{d x} (\frac{- x ^{2} - 2}{( x ^{2} - 2 ) ^{2}})

\frac{d}{d x} (\frac{1 - cos ( x )}{x})

\int \frac{2 x - 1}{2 x + 3} d x

\frac{d}{d x} (ln (x + 2 y + 3 z))

y^{^{'''}} = e^{- 0.2 x}

What is the limit as x approaches 10 of x/(x^2-100) ?
The limit as x approaches 10 of x/(x^2-100) is diverges