What are the limitations of dimensional analysis?

Explanation

Limitations of Dimensional analysis
1. This method gives no information about the dimensionless constants in the formula like 1, 2, ......`pi`,e, etc
2. This method is not suitable to derive relations involving trigonometric, exponential and logarithmie functions
3. It can only check on whether a physical relation is dimensionally correct but not the correctness of the relation. For example, using dimensional analysis, `s = ut + (1)/(3)at^(2)` is dimensionally correct whereas the correct relation is `s = ut + (1)/(2)at^(2)`