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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

\frac{d}{d x} ((5 x - 2 x^{4})^{3})

\int \frac{1}{( x + 2 ) x ^{2} + 4 x} d x

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

\int \frac{1}{36 + x ^{2}} d x

\int 4 x + 4 d x

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