I need to give an example of a function $\displaystyle f:[a,b]\rightarrow\mathbb{R}$ that is in $\displaystyle R[c,b]$ for every $\displaystyle c\in (a,b)$ but which is not in $\displaystyle R[a,b]$
Not even sure how to start....
I need to give an example of a function $\displaystyle f:[a,b]\rightarrow\mathbb{R}$ that is in $\displaystyle R[c,b]$ for every $\displaystyle c\in (a,b)$ but which is not in $\displaystyle R[a,b]$
Not even sure how to start....