What is the limit as x approaches 2-of (3x+5)/(x-2) ?

The limit as x approaches 2-of (3x+5)/(x-2) is -infinity

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limit as x approaches 2-of (3x+5)/(x-2)

x \to 2 - lim (\frac{3 x + 5}{x - 2})

- \infty

Solution steps

x \to 2 - lim (\frac{3 x + 5}{x - 2})

\frac{3 x + 5}{x - 2} = (3 x + 5) \frac{1}{x - 2}

= x \to 2 - lim ((3 x + 5) \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 (3 x + 5) \cdot x \to 2 - lim (\frac{1}{x - 2})

x \to 2 - lim (3 x + 5) = 11

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

= 11 (- \infty)

Apply Infinity Property:

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

= - \infty

\int \frac{2 t}{1 + t ^{2}} d t

y = - 2 x^{2} + 20, y = 3 x - 15

f (x) = x^{7} - 1 (x)

\int r 2 - r^{2} d r

\int \frac{1}{( 4 x + 1 ) 16 x ^{2} + 4} d x

What is the limit as x approaches 2-of (3x+5)/(x-2) ?
The limit as x approaches 2-of (3x+5)/(x-2) is -infinity