The formal definition of a surface integral: We divide the surface S into N elements of area ΔSp, p = 1,…., N each with a unit normal n̂p.If (xp, yp, zp) is any point in ΔSp, then\(\mathop \smallint \limits_s a.dS = \mathop {\lim }\limits_{N \to \infty } \mathop \sum \limits_{p = 1}^N a\left( {{x_p},{y_p},{z_p}} \right).{\hat n_p}{\rm{\Delta }}{S_p}\;\)

The formal definition of a surface integral: We divide the surface S i

1.	The formal definition of a surface integral: We divide the surface S into N elements of area ΔSp, p = 1,…., N each with a unit normal n̂p.If (xp, yp, zp) is any point in ΔSp, then\(\mathop \smallint \limits_s a.dS = \mathop {\lim }\limits_{N \to \infty } \mathop \sum \limits_{p = 1}^N a\left( {{x_p},{y_p},{z_p}} \right).{\hat n_p}{\rm{\Delta }}{S_p}\;\)
A.	ΔSp → ∞ as N → 1
B.	ΔSp → ∞ as N → 0
C.	ΔSp → 0 as N → ∞
D.	ΔSp → 1 as N → ∞
Answer» C. ΔSp → 0 as N → ∞