Question about expanding sums in calculus

Question

a) Expand the following expression as a explicit sum of terms: ∑_(i=1)n i^4/n^5.

b) Then, express the following as a definite integral

c) Then, calculate the value of the limit in (b) through the integral in (b).

Could I have help on this question? No idea how to approach it. Thanks

Answer 1

(a) Expansion: 1/n⁵+16/n⁵+81/n⁵+256/n⁵+...=(1+16+81+256+...)/n⁵.

Example: n=5: (1+16+81+256+3125)/3125=3479/3125=1.11328.

(b) and (c): insufficient information.