What is the limit as x approaches 3-of-2/(sqrt(3-x)) ?

The limit as x approaches 3-of-2/(sqrt(3-x)) is -infinity

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limit as x approaches 3-of-2/(sqrt(3-x))

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

- \infty

Solution steps

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

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - 2 \cdot x \to 3 - lim (\frac{1}{3 - x})

For

x

approaching

3

from the left

, x < 3 \Rightarrow 3 - x > 0

The denominator is a positive quantity approaching 0 from the right

= - 2 \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\frac{\partial}{\partial x} (3 x e^{2 x y})

\int \frac{( 8 x ^{2} + 3 x + 8 )}{( x ^{2} + 1 ) ^{2}} d x

y^{^{'}} = x e^{x}

\int_{0}^{l n (4)} π (e^{- x})^{2} d x

\frac{\partial}{\partial x} ((1 + x^{2})^{z s i n (y)})

What is the limit as x approaches 3-of-2/(sqrt(3-x)) ?
The limit as x approaches 3-of-2/(sqrt(3-x)) is -infinity