The correct answer is: A. equal to the sum of the individual inductance values.
The total inductance of a series inductor circuit is equal to the sum of the individual inductance values. This is because the current through each inductor is the same, and the magnetic flux produced by each inductor is additive.
Option B is incorrect because the total inductive reactance is not equal to the sum of the individual inductive reactances. This is because the inductive reactance of an inductor is proportional to its frequency, and the frequencies of the individual inductors may not be the same.
Option C is incorrect because the total inductance cannot be less than the value of the smallest inductor. This is because the total inductance is the sum of the individual inductance values, and the sum of a set of numbers cannot be less than the smallest number in the set.
Option D is incorrect because the total inductance is not equal to the source voltage divided by total current. This is because the total inductance is a property of the inductors, and the source voltage and total current are properties of the circuit.
Option E is incorrect because the total inductance is equal to the sum of the individual inductance values.