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

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

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

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

- \infty

Solution steps

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

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

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

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

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

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

= 5 (- \infty)

Apply Infinity Property:

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

= - \infty

\int (sin^{2} (2 x)) (cos^{4} (2 x)) d x

x^{2} - 8

\int (tan^{2} (x) + cot^{2} (x) + 2) d x

\int \frac{40}{x ^{2} + 25} d x

\frac{d}{d x} (3 x^{2} cos (x))

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