What is the limit as x approaches 2 of (4x+7)/(2x+1) ?

The limit as x approaches 2 of (4x+7)/(2x+1) is 3

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limit as x approaches 2 of (4x+7)/(2x+1)

x \to 2 lim (\frac{4 x + 7}{2 x + 1})

3

Solution steps

x \to 2 lim (\frac{4 x + 7}{2 x + 1})

Plug in the value

x = 2

= \frac{4 \cdot 2 + 7}{2 \cdot 2 + 1}

Simplify

\frac{4 \cdot 2 + 7}{2 \cdot 2 + 1} : 3

= 3

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x \to \infty lim (x^{2} - 6 x)

What is the limit as x approaches 2 of (4x+7)/(2x+1) ?
The limit as x approaches 2 of (4x+7)/(2x+1) is 3