The Bounds M and M Used in the Bounds on an Integral

Multiple Choice

The bounds m and M used in the Bounds on an Integral Theorem for $\int _ { 1 } ^ { e } \ln x d x$ are

A) $0,1$
B) $0 , e$
C) $1 , e$
D) $\frac { 1 } { \mathrm { e } } , 1$
E) $0 , \frac { 1 } { \mathrm { e } }$