Problem:
Numerically, investigate the behavior of the Newton quotient of the function

f(x) = |x|

near x = 0


Visualization: Using Maple:

> f:= x -> |x|;

> L:=[n, 2^(-n), (f(2^(-n))-f(0))/2^(-n), (f(-2^(-n))-f(0))/(-2^(-n)), (f(2^(-n))-f(-2^(-n)))/(2*2^(-n))];

> for n from 0 to 10 do print(evalf(L)); od;