- #1
haya
- 15
- 0
Homework Statement
the rolle theorem said :
suppose
(i) F(X) is continuous on colse interval (a,b)
(ii) F(X) is differentiable on open interval ( a,b)
(iii) F(a)=F(b)
then there is c on (a,b) such that F`(c)=0
the question is give an example :
1- satisfied (i) (ii) and not satisfy (i) and explain why c is not on the interval (a,b)?
2-satisfied (i) (iii) and not satisfy (ii) and explain why c is not on the interval (a,b)?
3-satisfied (ii) (iii) and not satisfy (i) and explain why c is not on the interval (a,b)?
I got answers each 1 and 2 but on 3 how can I got it
because if the function discontinous then so it is non diffrentiable on (a,b).