What is the limit as x approaches 6 of (7x-4)/(2x-8) ?

The limit as x approaches 6 of (7x-4)/(2x-8) is 19/2

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limit as x approaches 6 of (7x-4)/(2x-8)

x \to 6 lim (\frac{7 x - 4}{2 x - 8})

\frac{19}{2}

Decimal Notation

9.5

Solution steps

x \to 6 lim (\frac{7 x - 4}{2 x - 8})

Plug in the value

x = 6

= \frac{7 \cdot 6 - 4}{2 \cdot 6 - 8}

Simplify

\frac{7 \cdot 6 - 4}{2 \cdot 6 - 8} : \frac{19}{2}

= \frac{19}{2}

\int_{0}^{2} x e^{x} d x

\int \frac{49 x ^{2} - 100}{x ^{3}} d x

y = tan (x)

\frac{d}{d x} (cos (x - y))

\frac{\partial}{\partial y} (6 y + \frac{1}{x} - \frac{x}{y ^{2}})

What is the limit as x approaches 6 of (7x-4)/(2x-8) ?
The limit as x approaches 6 of (7x-4)/(2x-8) is 19/2