If f(x)= cases a 2 (x-|x|), & for x 0 cases is continuous at x = 0, then

MHT CET 2024 Mathematics question

If is continuous at x = 0, then

Answer: (A)

For continuity at we need LHL = RHL = . Left limit: for , , so , and for every real . Right limit: , so

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Question ID VK-096862