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

The limit as x approaches 2-of (2x)/(x-1) is 4

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

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

4

Solution steps

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

Plug in the value

x = 2

= \frac{2 \cdot 2}{2 - 1}

Simplify

= 4

\frac{\partial}{\partial x} (2 sin (x))

\frac{d y}{d x} = e^{3 x} + 8 y

\int - \frac{2}{x ^{2}} d x

\int_{- 4}^{4} (e^{x} - e^{- x})^{2} d x

\frac{\partial}{\partial y} ((x y)^{\frac{1}{2}})

What is the limit as x approaches 2-of (2x)/(x-1) ?
The limit as x approaches 2-of (2x)/(x-1) is 4