Lim x - 1 a x 2 - b x - c - c x 2 - b x - a - a - b - c - 0

lim_x→ 1ax^2+bx+ccx^2+bx+a =a+b+cc+b+a=1 ...

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Expansions to Remove Indeterminate Form

lim x → 1 a ...

Question

${lim}_{x \to 1} \frac{a x^{2} + b x + c}{c x^{2} + b x + a}, a + b + c \neq 0$

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lim x \to 1 \frac{a x^{2} + b x + c}{c x^{2} + b x + a}, a + b + c \neq 0

lim x \to 1 \frac{a x^{2} + b x + c}{c x^{2} + b x + a} = 1, a + b + c \neq 0

Evaluate the following limit:
$lim x \to 1 \frac{a x^{2} + b x + c}{c x^{2} + b x + a}, a + b + c \neq 0$

lim x \to 1

\frac{a x^{2} + b x + c}{c x^{2} + b x + a}

a + b + c \neq 0

lim x \to 1 \frac{a x^{2} + b x + c}{(x - 1)^{2}} = 2

(a, b, c)

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