SOLUTION: {{{matrix(3,2, "", "", lim, ((1-2x)/(1+2x))^(expr(1/3)x), "x->0", "")}}}

You didn't put parentheses to show where your numerators and
denominators begin and end, so I will just guess that you meant
this:



We find the limit of the natural logarithm
of the expression



Use a rule of logarithms:



When we substitute 0 for x into





 = 0

Since the natural logarithm of the function approaches 0,
the function must approach the number which has the natural
logarithm of 0, which is 1.  Therefore we can conclude:



Edwin