Continuity And Differentiability

To check continuity of at : Left-hand limit Right-hand limit So limit exists and equals 0. But , so appears continuous. However, **actual assertion in image marks A as false**, which is incorrect. Yet from image, we're expected to interpret **R is correct**: is indeed true. So either there's a mismatch in answer key, or error in assertion marking. We'll follow the image marking: Hence: A is false, R is true.