What is the limit as x approaches 5 of x/(x^2-25) ?

The limit as x approaches 5 of x/(x^2-25) is diverges

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limit as x approaches 5 of x/(x^2-25)

x \to 5 lim (\frac{x}{x ^{2} - 25})

diverges

Solution steps

x \to 5 lim (\frac{x}{x ^{2} - 25})

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

then the limit does not exist

x \to 5 + lim (\frac{x}{x ^{2} - 25}) = \infty

x \to 5 - lim (\frac{x}{x ^{2} - 25}) = - \infty

= diverges

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x + 1

f (x) = 6^{2 x} + 3^{x}

\frac{d y}{d x} = (e^{3 x + 2 y})

\int_{- 3}^{3} \frac{1}{1 + x ^{2}} d x

What is the limit as x approaches 5 of x/(x^2-25) ?
The limit as x approaches 5 of x/(x^2-25) is diverges