What is the limit as x approaches 2 of (x^2+3)(x-4) ?

The limit as x approaches 2 of (x^2+3)(x-4) is -14

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limit as x approaches 2 of (x^2+3)(x-4)

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

- 14

Solution steps

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

Plug in the value

x = 2

= (2^{2} + 3) (2 - 4)

Simplify

(2^{2} + 3) (2 - 4) : - 14

= - 14

x \to 1 - lim (\frac{- 3 ( x ^{2} - 1 )}{2 x ^{2} + 2 x - 4})

x \to \infty lim (\frac{4 x ^{2} - 16}{x ^{2} - 4})

x \to \infty lim (\frac{( 2 e ^{x} - 3 )}{e ^{x} + 5})

x \to - 2 lim (\frac{x ^{3} + 2 x ^{2}}{5 - 3 x})

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

What is the limit as x approaches 2 of (x^2+3)(x-4) ?
The limit as x approaches 2 of (x^2+3)(x-4) is -14