Question

lim ( 1/n^2 + 2/n^2 + ... + (n-1)/n^2 . n-> infinity

Answer 1

What is the sum of 1 + 2 + ... + (n - 1) for any fixed value of "n"?

Convert the given expression to common-denominator form, apply the summation formula to the numerator, and see what happens. You might need to divide everything by n^2 to see what the limit value is.