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

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

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

x \to - 1 lim (\frac{4}{x ^{2} + 2 x + 3})

2

Solution steps

x \to - 1 lim (\frac{4}{x ^{2} + 2 x + 3})

Plug in the value

x = - 1

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

Simplify

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

= 2

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