What is the limit as x approaches 1/2 of x^2-2x+3 ?

The limit as x approaches 1/2 of x^2-2x+3 is 9/4

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limit as x approaches 1/2 of x^2-2x+3

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

\frac{9}{4}

Decimal Notation

2.25

Solution steps

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

Plug in the value

x = \frac{1}{2}

= (\frac{1}{2})^{2} - 2 \cdot \frac{1}{2} + 3

Simplify

(\frac{1}{2})^{2} - 2 \cdot \frac{1}{2} + 3 : \frac{9}{4}

= \frac{9}{4}

x \to 0 lim (ln (x) \cdot sin (x))

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

x \to 1 lim (- 3)

x \to 0 + lim (\frac{x}{x})

x \to π lim (cos (2 x))

What is the limit as x approaches 1/2 of x^2-2x+3 ?
The limit as x approaches 1/2 of x^2-2x+3 is 9/4