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

The limit as x approaches 2 of 2x^2+x-4 is 6

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

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

6

Solution steps

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

Plug in the value

x = 2

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

Simplify

2 \cdot 2^{2} + 2 - 4 : 6

= 6

x \to - 2 lim (\frac{8}{x ^{2} - 4})

x \to 0 + lim (- 1 + x ln (x))

x \to 2 lim (\frac{x ^{2} + 5 x - 14}{x ^{2} - 11 x + 18})

x \to - 1 lim (4 x + 3)

x \to - 1 lim (\frac{7 x + 3}{x + 1})

What is the limit as x approaches 2 of 2x^2+x-4 ?
The limit as x approaches 2 of 2x^2+x-4 is 6