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What are the limitations of Dimensional analysis?

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Although dimensional analysis is very useful in deducing certain relations among physical quantities, it cannot lead us too far.Thus it has some limitations which are given below:

1.Dimensional analysis works only if the dependence of physical quantities is of the product type.It is not applicable to equations involving addition or subtraction. 
2.The numerical constants having no dimensions cannot be deduced by this method.One has to know from somewhere else , the exact value of the constant involved in equation. 
3.It does not work for the dimensionless quantities like trigonometric function,logarithmic function,etc.
4.Well! if the equation is dimensionally correct,then it doesn't still tell us whether the equation is exactly correct or not.

Hope you have understood your queries! 
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