Finding a solutions for an equation

The worth of an obligation at rational quantity retort

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The worth of an obligation at rational quantity

Let the responsibility

$$F(x)=sum_0^{infty}a_i x^i,qquad a_iin mathcal{N} cup {0},forall i,house 0 leq a_i leq 9.$$
breathe transcendental.

Is $F(b)$ at b the rational quantity (0<b<1) transcendental? ?
Or any reference for the query?

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