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

The limit as x approaches-1 of (2x+1)/(x-3) is 1/4

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

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

\frac{1}{4}

Decimal Notation

0.25

Solution steps

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

Plug in the value

x = - 1

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

Simplify

\frac{2 ( - 1 ) + 1}{- 1 - 3} : \frac{1}{4}

= \frac{1}{4}

x \to 5 lim (8 - x - x^{2})

x \to 2 lim (\frac{sin ( 8 x )}{x})

x \to 0 lim (- x^{x})

x \to 0 + lim (- ln (x^{x}))

x \to 3 lim ((3 x - 10) + x)

What is the limit as x approaches-1 of (2x+1)/(x-3) ?
The limit as x approaches-1 of (2x+1)/(x-3) is 1/4