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Question
Evaluate the following limit.
`lim_(x -> 1) (ax^2 + bx + c)/(cx^2 + bx + a), a+b+c != 0`
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Solution
`lim_(x -> 1) (ax^2 + bx + c)/(cx^2 + bx + a)`
= `(a(1)^2 + b(1) + c)/(c(1)^2 + b(1) + a)`
= `(a + b + c)/(c + b + a)`
= 1
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