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

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

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

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

\infty

Solution steps

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

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

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

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

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

= 2 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to - \infty lim (5 x - 2^{x})

\frac{\partial}{\partial x} (\frac{9 y}{x ^{5}})

f (x) = 1 - 4 x

(t^{2} - 1) y^{^{'}} + 2 t y = 0

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

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