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

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

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limit as x approaches 2 of ax^2+2x-4

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

4 a

Solution steps

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

Plug in the value

x = 2

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

Simplify

= 4 a

x \to - 3 lim (\frac{2 x}{x + 5})

x \to 0 + lim (2 x ln (sin (x)))

x \to 3 lim (sin (x - 3))

x \to - 3 lim (x^{4})

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

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