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

The limit as x approaches 2 of x^2+3x-2 is 8

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

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

8

Solution steps

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

Plug in the value

x = 2

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

Simplify

= 8

x \to - 2 lim (3 x^{2} + 2 x - 1)

x \to 2 lim (5 x + 6)

x \to 1 - lim (2 - x - \frac{5}{3})

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

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

What is the limit as x approaches 2 of x^2+3x-2 ?
The limit as x approaches 2 of x^2+3x-2 is 8