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

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

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limit as x approaches-a/2 of 4x^2-3x+1

x \to - \frac{a}{2} lim (4 x^{2} - 3 x + 1)

a^{2} + 3 \cdot \frac{a}{2} + 1

Solution steps

x \to - \frac{a}{2} lim (4 x^{2} - 3 x + 1)

Plug in the value

x = - \frac{a}{2}

= 4 (- \frac{a}{2})^{2} - 3 (- \frac{a}{2}) + 1

Simplify

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

= a^{2} + 3 \cdot \frac{a}{2} + 1

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

x \to - 3 + lim (\frac{x + 1}{x ^{2} - 9})

x \to 4 lim (\frac{x - 4}{4 - x})

x \to 0 lim (\frac{7 ^{x} - 1}{5 x})

x \to \frac{π}{4} lim (\frac{4 x}{tan ( x )})

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