What is the limit as x approaches 4-of (2x+b)/(x+c) ?

The limit as x approaches 4-of (2x+b)/(x+c) is (8+b)/(4+c)

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limit as x approaches 4-of (2x+b)/(x+c)

x \to 4 - lim (\frac{2 x + b}{x + c})

\frac{8 + b}{4 + c}

Solution steps

x \to 4 - lim (\frac{2 x + b}{x + c})

Plug in the value

x = 4

= \frac{2 \cdot 4 + b}{4 + c}

Simplify

= \frac{8 + b}{4 + c}

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x \to 3 lim (\frac{x + 33 - 6}{x - 3})

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x \to 4 lim (3 x - 5)

x \to \infty lim (- 5, x)

What is the limit as x approaches 4-of (2x+b)/(x+c) ?
The limit as x approaches 4-of (2x+b)/(x+c) is (8+b)/(4+c)