What is the limit as x approaches 1+of (x+2)/(x-1) ?

The limit as x approaches 1+of (x+2)/(x-1) is infinity

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limit as x approaches 1+of (x+2)/(x-1)

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

\infty

Solution steps

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

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

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

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

x \to 1 + lim (x + 2) = 3

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

= 3 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

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

\int (3 x - x^{- 1})^{2} d x

\frac{d}{d x} (\frac{x}{x ^{2} + a ^{2}})

\int \frac{1}{e ^{3 y}} d y

f (r) = 2 π r^{2}

What is the limit as x approaches 1+of (x+2)/(x-1) ?
The limit as x approaches 1+of (x+2)/(x-1) is infinity