What is the limit as x approaches-1/2 of (6x-1)/x ?

The limit as x approaches-1/2 of (6x-1)/x is 8

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limit as x approaches-1/2 of (6x-1)/x

x \to - \frac{1}{2} lim (\frac{6 x - 1}{x})

8

Solution steps

x \to - \frac{1}{2} lim (\frac{6 x - 1}{x})

Plug in the value

x = - \frac{1}{2}

= \frac{6 ( - \frac{1}{2} ) - 1}{- \frac{1}{2}}

Simplify

\frac{6 ( - \frac{1}{2} ) - 1}{- \frac{1}{2}} : 8

= 8

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

f (x) = x^{3} - 5 x^{2}, at x = 2

\frac{d y}{d x} = \frac{x ^{2} + x y + y ^{2}}{x ^{2}}

\frac{\partial}{\partial z} (- 4 x yz)

sec^{2} (x)

What is the limit as x approaches-1/2 of (6x-1)/x ?
The limit as x approaches-1/2 of (6x-1)/x is 8