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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Analyzing +4 | -1
Let lim⁡x→1xa−ax+a−1(x−1)2=f(a)\lim \limits_{{x \rightarrow 1}} \frac{x^a-a x+a-1}{(x-1)^2}=f(a). The value of f(101)f(101) equals
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Correct option: A
5050
Option A (5050) is correct because the limit is evaluated using L'Hopital's rule or Taylor series expansion.

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