What is the limit as x approaches-5 of 1/(x^2-25) ?

The limit as x approaches-5 of 1/(x^2-25) is diverges

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limit as x approaches-5 of 1/(x^2-25)

x \to - 5 lim (\frac{1}{x ^{2} - 25})

diverges

Solution steps

x \to - 5 lim (\frac{1}{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{1}{x ^{2} - 25}) = - \infty

x \to - 5 - lim (\frac{1}{x ^{2} - 25}) = \infty

= diverges

\int \frac{x - 1}{x} d x

f (x) = ln (x^{3}), at x = e^{5}

f (x) = (x^{3} + 6 x)^{4}, at x = 2

\int_{0}^{2} \frac{2 x}{( x ^{2} + 3 ) ^{3}} d x

x^{2} + x

What is the limit as x approaches-5 of 1/(x^2-25) ?
The limit as x approaches-5 of 1/(x^2-25) is diverges