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Home  >>  CBSE XI  >>  Math  >>  Limits and Derivatives

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} $

1 Answer

$ \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]$
answered Apr 3, 2014 by thanvigandhi_1
 

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