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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
lim⁡h→0f(2h+2+h2)−f(2)f(h−h2+1)−f(1)\lim\limits_{h \to 0} \frac{{f\left( {2h + 2 + {h^2}} \right) - f\left( 2 \right)}}{{f\left( {h - {h^2} + 1} \right) - f\left( 1 \right)}}, given that f′(2)=f'\left( 2 \right) = and f′(1)=4f'\left( 1 \right) = 4
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Correct option: D
is equal to 3
Option D (is equal to 3) is correct because applying L'Hopital's rule and substituting the given derivatives yields the correct result.

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