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

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

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

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

diverges

Solution steps

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

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

= diverges

θ \to \frac{2 π}{3} lim (sin (θ))

x \to \infty lim (3 x - 7)

h \to 3 lim (\frac{( 2 + h ) ^{2} - 4}{h})

x \to 2 lim (\frac{1}{3 x - 6})

x \to 4 + lim ((4 - x) ln (x - 4))

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