What is the limit as x approaches abc of ax^2+bx+c ?

The limit as x approaches abc of ax^2+bx+c is a^3b^2c^2+ab^2c+c

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limit as x approaches abc of ax^2+bx+c

x \to ab c lim (a x^{2} + b x + c)

a^{3} b^{2} c^{2} + a b^{2} c + c

Solution steps

x \to ab c lim (a x^{2} + b x + c)

Plug in the value

x = ab c

= a (ab c)^{2} + bab c + c

Simplify

a (ab c)^{2} + bab c + c : a^{3} b^{2} c^{2} + a b^{2} c + c

= a^{3} b^{2} c^{2} + a b^{2} c + c

t \to \frac{1}{3} lim (2 t + 7)

x \to - 3 lim (x^{2} - x - 12)

x \to 0 lim (2 x ln (\frac{1}{x}))

x \to 0 lim (\frac{1}{1 - 2 x})

x \to - 7 + lim (\frac{2 x + 1}{x + 7})

What is the limit as x approaches abc of ax^2+bx+c ?
The limit as x approaches abc of ax^2+bx+c is a^3b^2c^2+ab^2c+c