# 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