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})

For

x

approaching

1

from the left

, x < 1 \Rightarrow x^{2} - 2 x + 1 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

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

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

x \to \infty lim (4 x^{2} + 2 x + 2 x)

x \to 0 + lim (e^{x} + x)

x \to \infty lim (0 xx)

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