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

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

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

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

- \infty

Solution steps

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

\frac{2 + x}{3 - x} = (2 + x) \frac{1}{3 - x}

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

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

With the exception of indeterminate form

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

x \to 3 + lim (2 + x) = 5

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

= 5 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

\frac{d y}{d t} = \frac{t ^{2} + t y + y ^{2}}{t ^{2}}

n = 0 \sum \infty n (n + 1)

\int_{4}^{9} \frac{1}{x ^{2} - 1} d x

\int_{0}^{1} 4 e^{7 x} d x

1 - 6 x^{2} y^{^{'}} = x

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