What is the limit as x approaches 2 of (x+5)/(x-4) ?

The limit as x approaches 2 of (x+5)/(x-4) is -7/2

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limit as x approaches 2 of (x+5)/(x-4)

x \to 2 lim (\frac{x + 5}{x - 4})

- \frac{7}{2}

Decimal Notation

- 3.5

Solution steps

x \to 2 lim (\frac{x + 5}{x - 4})

Plug in the value

x = 2

= \frac{2 + 5}{2 - 4}

Simplify

= - \frac{7}{2}

x \to 0 lim (\frac{x ^{2} - 2}{x})

x \to 4 lim (\frac{3 x ^{2} - 12 x}{x - 2})

x \to 4 lim (3 x^{2} - 2 x)

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

x \to 13 lim (\frac{1}{x - 13})

What is the limit as x approaches 2 of (x+5)/(x-4) ?
The limit as x approaches 2 of (x+5)/(x-4) is -7/2