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JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1
If f′(2)=1f^{\prime}(2)=1, then lim⁡h→0f(2+h2)−f(2−h2)2h2=……\lim \limits_{{h \rightarrow 0}} \frac{f\left(2+h^2\right)-f\left(2-h^2\right)}{2 h^2}=\ldots \ldots
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Correct option: B
1
Option B (1) is correct because by applying L'Hopital's rule, the limit simplifies to f'(2), which is given as 1.

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