Let f(x)= cases 1+ x 2k , & 0<x<2 kx, & 2 x<4 cases If _ x 2 f(x) exists, then what is the value of k?

NDA 2021 Mathematics question

Let

f(x)=

If exists, then what is the value of ?

Answer: (D)

For the limit at to exist, the left-hand and right-hand limits must be equal. LHL ; RHL . So

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Question ID VK-033686