Two functions f(x) and g(x) are defined as f(x)={[x]{x} ,x≠00 ,x=0 and g(x)={{x}[x] ,x≠00 ,x=0 (where [.] and {.} refer to the greatest integer function and the fractional part function respectively and n∈N). Then which of the following statements is/are TRUE?
limn→∞n∫0g(x)dx=limn→∞n∑i=01i+1
It is divergent series.