What is the limit as x approaches-1 of x/(x^2-1)-10 ?

The limit as x approaches-1 of x/(x^2-1)-10 is diverges

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limit as x approaches-1 of x/(x^2-1)-10

x \to - 1 lim (\frac{x}{x ^{2} - 1} - 10)

diverges

Solution steps

x \to - 1 lim (\frac{x}{x ^{2} - 1} - 10)

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} - 10) = \infty

x \to - 1 - lim (\frac{x}{x ^{2} - 1} - 10) = - \infty

= diverges

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x \to - 2 lim (- 6 x - 7)

x \to \infty lim (\frac{2 + x ^{3}}{100 + 8 x ^{2}})

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

x \to \infty lim (\frac{x + 3 cos ( x )}{x})

What is the limit as x approaches-1 of x/(x^2-1)-10 ?
The limit as x approaches-1 of x/(x^2-1)-10 is diverges