Concept:
A nucleophile is an electron-rich species capable of donating an electron pair to an electron-deficient center.
Characteristics of nucleophiles:
• Possess lone pairs of electrons.
• Carry negative charge or high electron density.
• Act as Lewis bases.
Species that accept electron pairs are called electrophiles or Lewis acids.
Step 1: Analyze \(NH_3\).
Ammonia contains a lone pair on nitrogen.
\[
NH_3
\]
Therefore, it acts as a nucleophile.
Step 2: Analyze \(C_2H_5O^{-}\).
Ethoxide ion carries a negative charge and possesses lone pairs on oxygen.
Hence, it is a strong nucleophile.
Step 3: Analyze \(BF_3\).
Boron in \(BF_3\) has only six electrons in its valence shell.
Therefore, it is electron deficient and readily accepts electron pairs.
Hence,
\[
BF_3
\]
acts as a Lewis acid (electrophile), not a nucleophile.
Thus,
\[
\boxed{BF_3}
\]
is not a nucleophile.
Therefore, the correct option is
\[
\boxed{(A)}
\]