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

The limit as x approaches 2 of 2x^3+4x-2 is 22

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

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

22

Solution steps

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

Plug in the value

x = 2

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

Simplify

2 \cdot 2^{3} + 4 \cdot 2 - 2 : 22

= 22

x \to 1 lim ((2 x - 3) (x + 1))

x \to 0 lim (x + x)

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

x \to 2 lim (x^{2} - 6 x + 8)

What is the limit as x approaches 2 of 2x^3+4x-2 ?
The limit as x approaches 2 of 2x^3+4x-2 is 22