- #1
physics4life
- 10
- 0
Hi there just a general question: this involves continuity and differentiability
suppose:
f(x) = sin 1/x if x not equal to 0
f(0) = 0
PROVE F IS NOT DIFFERENTIABLE AT 0
i understand if it is not differentiable at 0 then it may not be continuous at 0. however is there a way of probing f is not diff at 0 and seeing whether it is continuous at 0 or not?
thnx a lot
suppose:
f(x) = sin 1/x if x not equal to 0
f(0) = 0
PROVE F IS NOT DIFFERENTIABLE AT 0
i understand if it is not differentiable at 0 then it may not be continuous at 0. however is there a way of probing f is not diff at 0 and seeing whether it is continuous at 0 or not?
thnx a lot