ₓ→ 1}ax²+bx+c/cx²+bx+a , a + b + c ≠ 0

NCERT Class XI Mathematics - Limits and Derivatives - Solutions

Question : 11 of 72

Marks: +1, -0

\lim\limits_{x\to 1}\frac{ax^2+bx+c}{cx^2+bx+a}

, a + b + c ≠ 0

Solution:

We have,

\lim\limits_{x\to 1}\frac{ax^2+bx+c}{cx^2+bx+a}

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

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

= 1.

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