Let f(x)= cases x^4-5x^2+4 |(x-1)(x-2)| , & x 1,2 [2mm] 6, & x=1 [1mm] 12, & x=2 cases then f(x) is continuous on the set

MHT CET 2025 Mathematics question

Let

f(x)=

then f(x) is continuous on the set

Answer: (D)

Factorise . For , , i.e. times the sign of . This is a product of continuous functions away from , so is continuous on . At : for the sign is ,

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Question ID VK-103006