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

The limit as x approaches 2 of x^4+3x^2-x-2 is 24

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

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

24

Solution steps

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

Plug in the value

x = 2

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

Simplify

2^{4} + 3 \cdot 2^{2} - 2 - 2 : 24

= 24

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

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

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

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

What is the limit as x approaches 2 of x^4+3x^2-x-2 ?
The limit as x approaches 2 of x^4+3x^2-x-2 is 24