Thread: Find ending behavior (Calculus)

Find ending behavior of

f[x_]=x - Floor[x] - (1/2)

F[x]: is the greatest integer in Mathematica.

I know we have to find the limit
Limit[f[x], x -> ∞]
Limit[f[x], x -> -∞]

Can somebody give me instruction on how to answer this please...

Originally Posted by camherokid

Find ending behavior of

f[x_]=x - Floor[x] - (1/2)

F[x]: is the greatest integer in Mathematica.

I know we have to find the limit
Limit[f[x], x -> ∞]
Limit[f[x], x -> -∞]

Can somebody give me instruction on how to answer this please...

These limits do not exists as f is a saw tooth varying between -1/2 and +1/2
over the inteval [n, n+1] for all integers n.

RonL

Thank you very much Captain Black !