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B
1e
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C
1e2
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D
e2
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Solution
The correct option is Ae k=limx→1(1−x2)1log(1−x) Applying log on both the sides, logk=limx→11log(1−x)log(1−x2) k=elimx→1log(1−x2)log(1−x) It is of the form 00, so applying L-Hospital's rule k=elimx→1−2x(1−x2)−11−x ⇒k=e