Evaluate the Given limit- limx- 1ax2-bx-c-cx2-bx-a-a-b-c- 0

lim_x→ 1ax^2+bx+c/cx^2+bx+a=a ( 1 )^2+b ( 1 )+c/c ( 1 )^2+b ( 1 )+a =a+b+c/a+b+c= 1, nbsp; nbsp; nbsp; nbsp; [∵ a+b+c≠ 0 ] ...

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Existence of Limit

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Question

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

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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

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} = 1, 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 0 \frac{sin a x + b x}{a x + sin b x}, a, b, a + b \neq 0

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