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

The limit as x approaches 4-of (ax+b)/(x+c) is (a*4+b)/(4+c)

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

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

\frac{a \cdot 4 + b}{4 + c}

Solution steps

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

Plug in the value

x = 4

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

x \to \infty lim (x^{2} + 3 x + 19 - x)

x \to 0 lim (x^{3} + x^{2} + 3)

x \to \frac{π}{6} lim (sec^{2} (x))

x \to \infty lim (x \cdot 10)

x \to 0 lim (\frac{4 x ^{2} + 16 - 20 x}{- 40 + 5 x ^{2} - 10 x})

What is the limit as x approaches 4-of (ax+b)/(x+c) ?
The limit as x approaches 4-of (ax+b)/(x+c) is (a*4+b)/(4+c)