A Monotone Sequence Bounded by e
A Monotone Sequence Bounded by e
The slope of the black line is less than the slope of the red line, which is less than the slope of the line . Then for each we have:
y=x
n
ln1+
1
n
1
n
ln1+
1
n+1
1
n+1
n
1+
1
n
n+1
1+
1
n+1