Step 1: Understanding lithium imide.
Lithium imide consists of a lithium atom bonded to an imide group (\( \text{NH} \)). The correct formula is \( \text{Li}_2\text{NH} \).
Step 2: Analyzing the options.
(A) \( \text{Li}_3\text{N} \): This is lithium nitride, not lithium imide.
(B) \( \text{LiNH}_2 \): This is lithium amide, not imide.
(C) \( \text{Li}_2\text{NH} \): Correct — This is the formula for lithium imide.
(D) \( \text{LiNH} \): This is an incorrect formula for lithium imide.
Step 3: Conclusion.
The correct answer is (C) \( \text{Li}_2\text{NH} \).