What is the limit as x approaches 3 of x^2+x-6 ?

The limit as x approaches 3 of x^2+x-6 is 6

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limit as x approaches 3 of x^2+x-6

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

6

Solution steps

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

Plug in the value

x = 3

= 3^{2} + 3 - 6

Simplify

= 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}))

x \to 3 lim (\frac{1}{( 1 - x ) ^{4}})

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

What is the limit as x approaches 3 of x^2+x-6 ?
The limit as x approaches 3 of x^2+x-6 is 6