What is the limit as x approaches 3 of 2x^2+2x-12 ?

The limit as x approaches 3 of 2x^2+2x-12 is 12

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limit as x approaches 3 of 2x^2+2x-12

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

12

Solution steps

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

Plug in the value

x = 3

= 2 \cdot 3^{2} + 2 \cdot 3 - 12

Simplify

2 \cdot 3^{2} + 2 \cdot 3 - 12 : 12

= 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})

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

x \to 3 lim (x^{7} ln (tan (x)))

What is the limit as x approaches 3 of 2x^2+2x-12 ?
The limit as x approaches 3 of 2x^2+2x-12 is 12