What is the limit as x approaches 10-of 9/(|x-10|) ?

The limit as x approaches 10-of 9/(|x-10|) is infinity

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limit as x approaches 10-of 9/(|x-10|)

x \to 10 - lim (\frac{9}{∣ x - 10 ∣})

\infty

Solution steps

x \to 10 - lim (\frac{9}{∣ x - 10 ∣})

For

x

approaching

10

from the left

, x < 10 \Rightarrow ∣ x - 10 ∣ > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to a lim (6)

\int 3 x^{7} d x

n = 0 \sum \infty - 6 \cdot (\frac{6}{7})^{n}

f (x) = (x^{2} + 1)

x \to 0 lim (\frac{4}{x} - 4 cot (x))

What is the limit as x approaches 10-of 9/(|x-10|) ?
The limit as x approaches 10-of 9/(|x-10|) is infinity