What is the limit as x approaches 3 of (x-13x)/x ?

The limit as x approaches 3 of (x-13x)/x is -12

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limit as x approaches 3 of (x-13x)/x

x \to 3 lim (\frac{x - 13 x}{x})

- 12

Solution steps

x \to 3 lim (\frac{x - 13 x}{x})

Plug in the value

x = 3

= \frac{3 - 13 \cdot 3}{3}

Simplify

= - 12

x \to 3 lim (5 x + v - 223 + 1)

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

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

x \to 3 lim (\frac{( 7 ^{x} - 5 ^{x} )}{x})

x \to 3 lim (\frac{3}{x ^{5}})

What is the limit as x approaches 3 of (x-13x)/x ?
The limit as x approaches 3 of (x-13x)/x is -12