1+1=2; WHEN YOU LOOK AWAY FOR ONE SECOND... 8x2[1+(12lnxx+12ln2πx+112x2)
+12(12lnxx+12ln2πx)2+O(x−2)]
=8x2[1+12lnxx+12ln2πx+112x2
+18ln2xx2+18ln22πx2+
14lnxln2πx2+O
(x−2)]=8x2+4xlnx+4xln2π+23
+ln2x+ln22π+2lnxln2π+O(1),
which cancel term by
term with the rest of the
expression to give,
ln__π+__.