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Choose $1$ if the question can be answered by one of the statements alone but not by the other.

Choose $2$ if the question can be answered by using either statement alone.

Choose $3$ if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.

Choose $4$ if the question cannot be answered even by using both the statements together.

Is $\left( \frac{1}{a^2} + \frac{1}{a^4} + \frac{1}{a^6} + \dots \right) > \left(\frac{1}{a} + \frac{1}{a^3} \frac{1}{a^5} + \dots\right)?$

1. $-3 \leq a \leq 3$
2. One of the roots of the equation $4x^2 - 4x +1 =0$ is $a.$

1