R(A,B,C,D,E) {ABC→C , CD→ B ,BC→ E}
{A, B, C, D} are prime attributes here.
now, according to definition of Partial Dependency,
Prime Attribute -> Non Prime Attribute
{E} is non-prime attribute, and hence BC->E becomes a PD.
And if there is any PD in the grammer, then it's not in 2NF and hence not in 3NF.