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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{d}{d x} (cos (20 x))

7 + 5 x + x e^{x}

x \to 8 + lim (\frac{x - 9}{x - 8})

\frac{\partial}{\partial x} (a e^{a x + y})

\frac{d}{d y} (\frac{cy ( x )}{x ^{2} + y ^{2}})

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