What is the limit as x approaches-4 of (2x)/(6x-10) ?

The limit as x approaches-4 of (2x)/(6x-10) is 4/17

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limit as x approaches-4 of (2x)/(6x-10)

x \to - 4 lim (\frac{2 x}{6 x - 10})

\frac{4}{17}

Decimal

0.23529 \dots

Solution steps

x \to - 4 lim (\frac{2 x}{6 x - 10})

Plug in the value

x = - 4

= \frac{2 ( - 4 )}{6 ( - 4 ) - 10}

Simplify

\frac{2 ( - 4 )}{6 ( - 4 ) - 10} : \frac{4}{17}

= \frac{4}{17}

x \to 1 lim ((x^{3} - 1)^{\frac{2}{3}})

x \to 1 + lim (\frac{1}{x ^{2} - 6 x + 5})

t \to - 1 lim (\frac{t + 1}{∣ t + 1 ∣})

x \to 0 lim (\frac{5 x + sin ( x )}{x})

x \to 0 lim (x^{2} + 4 x)

What is the limit as x approaches-4 of (2x)/(6x-10) ?
The limit as x approaches-4 of (2x)/(6x-10) is 4/17