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

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

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

x \to 3 + lim (\frac{1}{∣ x - 3 ∣})

\infty

Solution steps

x \to 3 + lim (\frac{1}{∣ x - 3 ∣})

For

x

approaching

3

from the right

, x > 3 \Rightarrow ∣ x - 3 ∣ > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

y \to 0 lim (\frac{y ^{2}}{y ^{4}})

f (x) = e^{x} - x^{7}

x \to 1 lim (\frac{x ^{2} - 9}{x - 3})

y^{2} = 4 x + 4, y = 4 x - 16

x \to + 0 lim (e^{4 x + 2})

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