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LIMITS AND DERIVATIVES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLIMITS AND DERIVATIVES2 Marks
Question
Evaluate the following limits in Exercise:$\lim\limits_{\text{x}\rightarrow1}\frac{\text{ax}^2+\text{bx}+\text{c}}{\text{cx}^2+\text{bx}+\text{a}},\text{a}+\text{b}+\text{c}\neq0$
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Answer

$\lim\limits_{\text{x}\rightarrow1}\frac{\text{ax}^2+\text{bx}+\text{c}}{\text{cx}^2+\text{bx}+\text{a}}=\frac{\text{a}(1)^2+\text{b}(1)+\text{c}}{\text{c}(1)^2+\text{b}(1)+\text{a}}$$=\frac{\text{a}+\text{b}+\text{c}}{\text{a}+\text{b}+\text{c}}$
$=1 $ $[\text{a}+\text{b}+\text{c}\neq0]$

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