What is the limit as x approaches 1 of 4/(x^2-2x+1) ?

The limit as x approaches 1 of 4/(x^2-2x+1) is infinity

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limit as x approaches 1 of 4/(x^2-2x+1)

x \to 1 lim (\frac{4}{x ^{2} - 2 x + 1})

\infty

Solution steps

x \to 1 lim (\frac{4}{x ^{2} - 2 x + 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{4}{x ^{2} - 2 x + 1}) = \infty

x \to 1 + lim (\frac{4}{x ^{2} - 2 x + 1}) = \infty

= \infty

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

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

x \to - 3 - lim (\frac{x - 3}{x ^{2} - 9})

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

x \to 0 lim (\frac{2 x ^{2}}{∣ x ∣})

What is the limit as x approaches 1 of 4/(x^2-2x+1) ?
The limit as x approaches 1 of 4/(x^2-2x+1) is infinity