👤

1/1*2 + 1/2*3+1/3*4+...+1/2010*2011

Răspuns :

1/1*2 + 1/2*3+1/3*4+...+1/2010*2011 =
=1/1-1/2+1/2-1/3+1/3-1/4+....+1/2010-1/2011=
=1/1-1/2011=(2011-1)/2011=2010/2011