What is the limit as x approaches 1+of 3/(|x-1|) ?

The limit as x approaches 1+of 3/(|x-1|) is infinity

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limit as x approaches 1+of 3/(|x-1|)

x \to 1 + lim (\frac{3}{∣ x - 1 ∣})

\infty

Solution steps

x \to 1 + lim (\frac{3}{∣ x - 1 ∣})

For

x

approaching

1

from the right

, x > 1 \Rightarrow ∣ x - 1 ∣ > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x^{3}

\frac{\partial}{\partial x} (\frac{x ^{2}}{x ^{2} + y ^{2}})

x \to 0 lim (x ln (5 x))

\int \frac{x}{2 + x ^{4}} d x

\frac{d}{d y} ((\frac{1}{y ^{2}} - \frac{7}{y ^{4}}) (y + 5 y^{3}))

What is the limit as x approaches 1+of 3/(|x-1|) ?
The limit as x approaches 1+of 3/(|x-1|) is infinity