Question 394859
1.  {{{E(1/X)=1/E(X)}}}.  FALSE.  Consider the pmf
X      = 1      2       3
p(x)   =0.2     0.3     0.5
Then {{{E(X) = 1*0.2 + 2*0.3  +3*0.5 = 23/10}}}, but 
{{{E(1/X) = 1*0.2 + (1/2)*0.3  +(1/3)*0.5 = 31/60}}}.
Therefore {{{E(1/X)}}} is not equal to {{{1/E(X)}}}.

2. {{{E((X-u[x])^2) = (E(X-u[x]))^2}}}. FALSE.
The left side is Var(X), while the right side equal to 0, because 
{{{(E(X-u[x]))^2 = (E(X) - u[x])^2 = (u[x] - u[x])^2 = 0}}}