11.   Evaluate the following limits  \lim_{x \rightarrow 1} \frac{ax ^2 +bx + c }{cx^2 + bx + a }, a+b +c \neq 0

Answers (1)

The limit:

\lim_{x \rightarrow 1} \frac{ax ^2 +bx + c }{cx^2 + bx + a }, a+b +c \neq 0

Since Denominator is not zero on directly putting the limit, we can directly put the limits, so,

\lim_{x \rightarrow 1} \frac{ax ^2 +bx + c }{cx^2 + bx + a }, a+b +c \neq 0

=\frac{a(1) ^2 +b(1) + c }{c(1)^2 + b(1) + a },

=\frac{a+b+c }{a+b+c },

=1  (Answer)

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