# Convergence of a Monotonic Sequence

Convergence of a Monotonic Sequence

The plot shows the function at the points The pair of green lines meet at a point —you can click or drag the lines to change it. Dragging to the right increases how much of the domain of the function is visible. The blue line is the limit of the function as .

f(x)=1-1-

1

n

mx

x=1,2,3,….

(x,f(x))

x∞