What is the limit as x approaches 1 of (x-3)/(1-x^2) ?

The limit as x approaches 1 of (x-3)/(1-x^2) is diverges

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limit as x approaches 1 of (x-3)/(1-x^2)

x \to 1 lim (\frac{x - 3}{1 - x ^{2}})

diverges

Solution steps

x \to 1 lim (\frac{x - 3}{1 - x ^{2}})

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 - 3}{1 - x ^{2}}) = \infty

x \to 1 - lim (\frac{x - 3}{1 - x ^{2}}) = - \infty

= diverges

x \to 0 lim (\frac{1}{1 - e ^{0}})

x \to 0 - lim (\frac{x + 1}{∣ x ∣})

x \to - 2 lim (\frac{2 x - 3}{x - 4})

x \to - 2 lim (\frac{3 - 5 x}{4 x})

What is the limit as x approaches 1 of (x-3)/(1-x^2) ?
The limit as x approaches 1 of (x-3)/(1-x^2) is diverges