What EPS growth measures
Consistent EPS growth indicates improving profitability on a per-share basis. Declining EPS may signal weaker margins, slower revenue growth, dilution from new shares, or a combination of all three. Because EPS is measured per share, it can move differently from total net income when the share count changes.
Analysts use EPS growth alongside P/E, PEG, margin trend, and revenue growth to judge whether a company is compounding earnings cleanly or only making the per-share number look better through share-count changes.