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

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

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

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

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

= \frac{1}{3}

x^{2} + 3 x, at x = 0

\int - 5 ln (x^{2} - 1) d x

f (x) = (2 x^{2} + 3)^{3} (x^{2} - 4)^{2}

\int (5 cos (x) - 2 sec^{2} (x)) d x

\frac{d}{d v} (ln (u cos (v)))

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