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# Evaluate the following limits  $\lim\limits_{x \to 1} \large\frac{ax^2+bx+c}{cx^2+bx+a},$$a+b+c \neq 0 \begin{array}{1 1}1 \\ 0 \\ \infty \\ -1\end{array} Can you answer this question? ## 1 Answer 0 votes \lim\limits_{x \to 1} \large\frac{ax^2+bx+c}{cx^2+bx+a}$$= \large\frac{a(1)^2+b(1)+c}{c(1)^2+b(1)+a}$
$= \large\frac{a+b+c}{a+b+c}$
$= 1 \quad \quad \quad [ a+b+c \neq 0]$