What is the limit as x approaches 4-of 1/(sqrt(4-x)) ?

The limit as x approaches 4-of 1/(sqrt(4-x)) is infinity

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limit as x approaches 4-of 1/(sqrt(4-x))

x \to 4 - lim (\frac{1}{4 - x})

\infty

Solution steps

x \to 4 - lim (\frac{1}{4 - x})

For

x

approaching

4

from the left

, x < 4 \Rightarrow 4 - x > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

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\frac{d}{d x} (sin (x) \cdot cos (x))

y^{^{''}} + 9 y = 2 cos (3 x), y (0) = 1, y^{^{'}} (0) = 0

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

What is the limit as x approaches 4-of 1/(sqrt(4-x)) ?
The limit as x approaches 4-of 1/(sqrt(4-x)) is infinity