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

The limit as x approaches 2 of (x-3)/(x^2+1) is -1/5

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

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

- \frac{1}{5}

Decimal

- 0.2

Solution steps

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

Plug in the value

x = 2

= \frac{2 - 3}{2 ^{2} + 1}

Simplify

= - \frac{1}{5}

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What is the limit as x approaches 2 of (x-3)/(x^2+1) ?
The limit as x approaches 2 of (x-3)/(x^2+1) is -1/5