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) = - 1

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

= (- 1) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\int \frac{e ^{x} - 4 e ^{- x}}{e ^{x}} d x

y^{3} - (10 x + 2) + 3 x y^{2} \frac{d y}{d x} = 0

\frac{\partial}{\partial x} (x e^{y} + y + 1)

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

\int_{0}^{0.02} 200 x d 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