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 $\left( \frac{1}{a^2} + \frac{1}{a^4} + \frac{1}{a^6} + \dots \right) > \left(\frac{1}{a} + \frac{1}{a^3} \frac{1}{a^5} + \dots\right)?$
- $-3 \leq a \leq 3$
- One of the roots of the equation $4x^2 - 4x +1 =0$ is $a.$