Question

Relation between continuity and diffrentiability of a functiom and points where function is continuous.
pPoints where g.i.f [x] is continuous

Answer 1

Hi friend,
A function which is continuous is said to be diffrentiable .But a function which is continuous need not be diffrentiable.So,all diffrentiable functions are continuous but all continuous functions are not diffrentiable.
G.I.F [x] is not continuous at x=integers.
HOPE THIS HELPS YOU...

Answer 2

♦ Continuous Function is diffrentiable. 
♦ All functions are continuous.
♦ All continuous functions are not differentiable.
∴ G.I.F [x] is not continuous at x=integers.