What is the limit as x approaches 0 of 2-8x+5x^2 ?

The limit as x approaches 0 of 2-8x+5x^2 is 2

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limit as x approaches 0 of 2-8x+5x^2

x \to 0 lim (2 - 8 x + 5 x^{2})

2

Solution steps

x \to 0 lim (2 - 8 x + 5 x^{2})

Plug in the value

x = 0

= 2 - 8 \cdot 0 + 5 \cdot 0^{2}

Simplify

= 2

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

x \to 0 lim (3^{x} - 1)

x \to 1 lim (1 - x)

z \to i lim (\frac{z - i}{z ^{2} + 1})

x \to \infty lim (x (\frac{π}{4} - arctan (\frac{x}{x + 1})))

What is the limit as x approaches 0 of 2-8x+5x^2 ?
The limit as x approaches 0 of 2-8x+5x^2 is 2