Express the limit as a definite integral:

lim as ||P|| approaches 0 of the sum from k=1 to n of (c_k^8 - 7c_k)Δx_k, where P is a partition of -4,4.

Which of the following represents the correct expression for the limit?

A) lim as P approaches 0 of the sum from k=1 to n of (c_k^8 - 7c_k)Δx_k, where P is a partition of -4,4.
B) lim as ||P|| approaches 0 of the sum from k=1 to n of (c_k^8 - 7c_k)Δx_k, where P is a partition of -4,4.
C) lim as P approaches 0 of the sum from k=1 to n of (c_k^8 - 7c_k)Δx_k, where P is a partition of -4 to 4.
D) lim as ||P|| approaches 0 of the sum from k=1 to n of (c_k^8 - 7c_k)Δx_k, where P is a partition of -4 to 4.