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

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

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

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

a + 4

Solution steps

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

Plug in the value

x = 2

= 2 \cdot 2^{2} + \frac{a}{2} \cdot 2 - 4

Simplify

2 \cdot 2^{2} + \frac{a}{2} \cdot 2 - 4 : a + 4

= a + 4

x \to 5 lim (\frac{x ^{2} - 4}{x - 2})

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

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

x \to \infty lim (- 7 x - 4)

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

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