What is the limit as x approaches 0 of (x+3)(x^2-4) ?

The limit as x approaches 0 of (x+3)(x^2-4) is -12

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limit as x approaches 0 of (x+3)(x^2-4)

x \to 0 lim ((x + 3) (x^{2} - 4))

- 12

Solution steps

x \to 0 lim ((x + 3) (x^{2} - 4))

Plug in the value

x = 0

= (0 + 3) (0^{2} - 4)

Simplify

(0 + 3) (0^{2} - 4) : - 12

= - 12

x \to 0 lim (csc (3 x))

x \to 15 lim (\frac{1}{x - 15})

x \to 0 lim (\frac{sin ^{2} ( 3 x )}{sin ^{2} ( 5 x )})

x \to 0 lim (x^{4} + 3 x^{3} - x)

x \to 0 + lim (x \cdot sin (ln (x)))

What is the limit as x approaches 0 of (x+3)(x^2-4) ?
The limit as x approaches 0 of (x+3)(x^2-4) is -12