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

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

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

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

\infty

Solution steps

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

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

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

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

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

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

y^{^{''}} - 12 y^{^{'}} + 36 y = 4 x e^{6 x}

n = 2 \sum \infty e^{3 - 2 n}

\int 3 (3 x + 9)^{3} d x

x \to 0 lim (\frac{sinh ( x ) - x}{x ^{3}})

e^{n \cdot x}

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