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

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

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

x \to - 1 lim (\frac{x + 4}{2 x + 1})

- 3

Solution steps

x \to - 1 lim (\frac{x + 4}{2 x + 1})

Plug in the value

x = - 1

= \frac{- 1 + 4}{2 ( - 1 ) + 1}

Simplify

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

= - 3

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