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

The limit as x approaches 2 of 2x^2-3x-4 is -2

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limit as x approaches 2 of 2x^2-3x-4

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

- 2

Solution steps

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

Plug in the value

x = 2

= 2 \cdot 2^{2} - 3 \cdot 2 - 4

Simplify

2 \cdot 2^{2} - 3 \cdot 2 - 4 : - 2

= - 2

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

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

x \to 8 lim (f (x))

x \to - 3 lim (- x - 4)

x \to 0 + lim (x \frac{1}{x})

What is the limit as x approaches 2 of 2x^2-3x-4 ?
The limit as x approaches 2 of 2x^2-3x-4 is -2