What is the limit as x approaches-2 of (x+1)/(6x-3) ?

The limit as x approaches-2 of (x+1)/(6x-3) is 1/15

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limit as x approaches-2 of (x+1)/(6x-3)

x \to - 2 lim (\frac{x + 1}{6 x - 3})

\frac{1}{15}

Decimal Notation

0.06666 \dots

Solution steps

x \to - 2 lim (\frac{x + 1}{6 x - 3})

Plug in the value

x = - 2

= \frac{- 2 + 1}{6 ( - 2 ) - 3}

Simplify

\frac{- 2 + 1}{6 ( - 2 ) - 3} : \frac{1}{15}

= \frac{1}{15}

x \to 0 lim (\frac{2 - x}{1 + x})

x \to - 4 lim (- 6 x^{2} + 8 x - 3)

y \to 3 lim (y^{3} - 2 y + 7)

x \to 0 lim (\frac{2 x ^{2}}{x})

x \to - 4 lim (sin (2 π x))

What is the limit as x approaches-2 of (x+1)/(6x-3) ?
The limit as x approaches-2 of (x+1)/(6x-3) is 1/15