I don’t understand what these function are like and why they satisfy that f(n) is not O(g(n)) and g(n) is not O(f(n)).
Where is x?
begin{eqnarray}
f(x)=
begin{cases}
k^{2k}, &xin(2π,2π+1)& \
k^{2k+1}, &xin(2π+1,2π+2)&
end{cases}
end{eqnarray}
begin{eqnarray}
g(x)=
begin{cases}
k^{2k-2}, &xin(2π,2π+1)& \
k^{2k+2}, &xin(2π+1,2π+2)&
end{cases}
end{eqnarray}
Also, could you teach me how to write these functions in Grapher on MacOS? Cuz I want to know what they are like.
