What is the limit as x approaches 2-of (5x)/(x-6) ?

The limit as x approaches 2-of (5x)/(x-6) is -5/2

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limit as x approaches 2-of (5x)/(x-6)

x \to 2 - lim (\frac{5 x}{x - 6})

- \frac{5}{2}

Solution steps

x \to 2 - lim (\frac{5 x}{x - 6})

Plug in the value

x = 2

= \frac{5 \cdot 2}{2 - 6}

Simplify

\frac{5 \cdot 2}{2 - 6} : - \frac{5}{2}

= - \frac{5}{2}

f (x) = (x^{3} + 2) e^{x}

x \to - 2 lim (x^{2} - 4 x + 6)

ln (2 x - 5)

arctan (s)

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

What is the limit as x approaches 2-of (5x)/(x-6) ?
The limit as x approaches 2-of (5x)/(x-6) is -5/2