function f(x)
   return x - math.cos(x)
end

function fp(x)
   return 1.0 + math.sin(x)
end

x = 1.0
n = 5

print( "x0 = ", x )
for i = 1, n do
   x = x - f(x) / fp(x)
   print( "x"..i.." = ", x )
end