What is the limit as x approaches 1/2 of 12+x-x^2 ?

The limit as x approaches 1/2 of 12+x-x^2 is 49/4

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limit as x approaches 1/2 of 12+x-x^2

x \to \frac{1}{2} lim (12 + x - x^{2})

\frac{49}{4}

Decimal Notation

12.25

Solution steps

x \to \frac{1}{2} lim (12 + x - x^{2})

Plug in the value

x = \frac{1}{2}

= 12 + \frac{1}{2} - (\frac{1}{2})^{2}

Simplify

12 + \frac{1}{2} - (\frac{1}{2})^{2} : \frac{49}{4}

= \frac{49}{4}

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

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

x \to 0 lim (sin (x) cot (x))

x \to 1 lim (\frac{1}{0})

x \to \frac{3 π}{4} lim (sin (x))

What is the limit as x approaches 1/2 of 12+x-x^2 ?
The limit as x approaches 1/2 of 12+x-x^2 is 49/4