Question:
Evaluate the Given limit: \(\lim_{x\rightarrow 1}\) \(\frac{ax^2+bx+c}{cx^2+bx+a}\) , a + b + c ≠0
Evaluate the Given limit: \(\lim_{x\rightarrow 1}\) \(\frac{ax^2+bx+c}{cx^2+bx+a}\) , a + b + c ≠0
Updated On: Oct 23, 2023
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Solution and Explanation
∴\(\lim_{x\rightarrow 1}\)\(\frac{ax^2+bx+c}{cx^2+bx+a}\) = \(\frac{a(1)^2+b(1)^2+c}{c(1)^2+b(1)+a}\)
= \(\frac{a+b+c}{a+b+c}\)
=1 [a+b+c \(\neq\) 0]
= \(\frac{a+b+c}{a+b+c}\)
=1 [a+b+c \(\neq\) 0]
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