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

The limit as x approaches 3 of (x^2+3)/(x-1) is 6

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

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

6

Solution steps

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

Plug in the value

x = 3

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

Simplify

= 6

\int x^{2} x^{3} + 31 d x

y = \frac{3}{x}, y = \frac{x}{12}, 1 \leq x \leq 6

x \to 0 lim (- 1 + \frac{1}{x})

\int_{2}^{3} \frac{16}{3 - x} d x

\frac{1}{2 x - 5}

What is the limit as x approaches 3 of (x^2+3)/(x-1) ?
The limit as x approaches 3 of (x^2+3)/(x-1) is 6