What is the limit as x approaches 1 of 0/(x^2-1) ?

The limit as x approaches 1 of 0/(x^2-1) is 0

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limit as x approaches 1 of 0/(x^2-1)

x \to 1 lim (\frac{0}{x ^{2} - 1})

0

Solution steps

x \to 1 lim (\frac{0}{x ^{2} - 1})

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

then

x \to a lim f (x) = L

x \to 1 - lim (\frac{0}{x ^{2} - 1}) = 0

x \to 1 + lim (\frac{0}{x ^{2} - 1}) = 0

= 0

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What is the limit as x approaches 1 of 0/(x^2-1) ?
The limit as x approaches 1 of 0/(x^2-1) is 0