What is the limit as x approaches 0 of 3-8x+3x^2 ?

The limit as x approaches 0 of 3-8x+3x^2 is 3

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limit as x approaches 0 of 3-8x+3x^2

x \to 0 lim (3 - 8 x + 3 x^{2})

3

Solution steps

x \to 0 lim (3 - 8 x + 3 x^{2})

Plug in the value

x = 0

= 3 - 8 \cdot 0 + 3 \cdot 0^{2}

Simplify

= 3

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

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

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

x \to 0 lim (\frac{7 ^{x} - 6 ^{x}}{x})

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

What is the limit as x approaches 0 of 3-8x+3x^2 ?
The limit as x approaches 0 of 3-8x+3x^2 is 3