# If f is continuous on [0,2] with f(0) = f(2), show that there is a c element of [0,2] such that f(c) = f(c+1)?

##### 1 Answer

Sep 9, 2015

We consider the following function

#### Explanation:

Hence we have that

If we take the product we have that

From Intermediate value theorem that means there is a c for which