CONTINUITY AND DIFFERENTIABILITY Set 4

Everywhere continuous and differentiable ✘ Everywhere continuous and but not differentiable at ✘ Neither continuous nor differentiable at ✘ None of these ✔ NULL ✔ NULL NULL

✘ ✘ ✘ ✔ NULL ✔ NULL NULL

✘ ✘ ✘ ✔ NULL ✔ NULL NULL

✘ ✘ ✘ ✔ NULL ✔ NULL NULL

Is continuous at ✘ Is not continuous at ✘ Is not continuous at , but can be made continuous ✘ None of these ✔ NULL ✔ NULL NULL

Not continuous at ✘ Differentiable at ✘ Continuous but not differentiable at ✘ None of the above ✔ NULL ✔ NULL NULL

4 ✘ 1 ✘ 02-Feb ✘ 8 ✔ NULL ✔ NULL NULL

 exists, but is not continuous at ✘  does not exist and is not continuous at ✘ is continuous for all ✘ is continuous for all ✔ NULL ✔ NULL NULL

-1 ✘ 1 ✘ None of these ✔ NULL ✔ NULL NULL

Discontinuous at origin because is discontinuous there ✘ Continuous at origin ✘ Discontinuous at origin because both and are discontinuous there ✘ Discontinuous at the origin because is discontinuous there ✔ NULL ✔ NULL NULL