What is the limit as x approaches 3 of x^2-x-7 ?

The limit as x approaches 3 of x^2-x-7 is -1

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limit as x approaches 3 of x^2-x-7

x \to 3 lim (x^{2} - x - 7)

- 1

Solution steps

x \to 3 lim (x^{2} - x - 7)

Plug in the value

x = 3

= 3^{2} - 3 - 7

Simplify

= - 1

x \to 3 lim ((\frac{6}{3})^{x})

x \to 3 lim (x^{2} + x - 6)

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

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

x \to 3 lim (x^{2} sin (\frac{1}{x}))

What is the limit as x approaches 3 of x^2-x-7 ?
The limit as x approaches 3 of x^2-x-7 is -1