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

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

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

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

\infty

Solution steps

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

For

x

approaching

1

from the left

, x < 1 \Rightarrow 1 - x > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 0 lim (\frac{cos ( 20 x )}{x})

x \to 0 lim (1 - 2 x)

x \to 2 lim (2 x - 5)

x \to - 2 + lim (x + 2)

x \to 0 lim (\frac{1 - cos ( 2 x )}{10 x ^{2}})

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