What is the limit as x approaches 1-of 8/(sqrt(1-x)) ?

The limit as x approaches 1-of 8/(sqrt(1-x)) is infinity

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limit as x approaches 1-of 8/(sqrt(1-x))

x \to 1 - lim (\frac{8}{1 - x})

\infty

Solution steps

x \to 1 - lim (\frac{8}{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

\int \frac{x ^{3} + 3 x ^{2} + 6 x + 5}{x ^{2} + x + 2} d x

f^{^{'}} (x) = ln (x)

\int \frac{1}{x x ^{2} - 36} d x

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

\frac{d N}{d x} = ((0.0922) N) (1 - \frac{N}{60})

What is the limit as x approaches 1-of 8/(sqrt(1-x)) ?
The limit as x approaches 1-of 8/(sqrt(1-x)) is infinity