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$⨍ (x)=[x-1]+[x-2],$ where [.] denotes the greatest integer function.
Assertion (A): $⨍ (x)$ is discontinuous at x = 2.
Reason (R): $⨍ (x)$ is non derivable at x = 2.

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An Intiative by Sri Chaitanya

Both A and R are true and R is the correct explanation of A.

Both A and R are true and R is not the correct explanation of A.

A is true but R is false.

A is False but R is true.

answer is B.

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Detailed Solution

$⨍ (x)$ is not differentiable at x = 2.

Hence, both Assertion and Reason are true and Reason is not a correct explanation of Assertion.

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