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

The limit as x approaches 3 of (3x+1)/(x-2) is 10

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

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

10

Solution steps

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

Plug in the value

x = 3

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

Simplify

= 10

x \to 1 - lim (cot (π x))

x \to - \infty lim (x^{2} - 4)

x \to (2.3) lim (x^{2} + 5 y)

x \to 0 lim (- cot (x) csc (x))

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

What is the limit as x approaches 3 of (3x+1)/(x-2) ?
The limit as x approaches 3 of (3x+1)/(x-2) is 10