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

The limit as x approaches 3 of (2x+1)/(x-1) is 7/2

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

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

\frac{7}{2}

Decimal Notation

3.5

Solution steps

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

Plug in the value

x = 3

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

Simplify

= \frac{7}{2}

x \to \frac{π}{6} lim (2 sin (x))

x \to 2 lim (3 x^{3} + 7 x - 16)

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

x \to \infty lim (\frac{2}{3} x)

x \to 0 lim (\frac{9 ^{x} - 1}{x})

What is the limit as x approaches 3 of (2x+1)/(x-1) ?
The limit as x approaches 3 of (2x+1)/(x-1) is 7/2