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**Calculus**Level 3

\[\dfrac{a-b}{a}+\dfrac{1}{2} \left(\dfrac{a-b}{a} \right)^2+\dfrac{1}{3} \left(\dfrac{a-b}{a} \right)^3+ \ldots \]

If \( 0 < b < a \), the value of the above series is?

\[\dfrac{a-b}{a}+\dfrac{1}{2} \left(\dfrac{a-b}{a} \right)^2+\dfrac{1}{3} \left(\dfrac{a-b}{a} \right)^3+ \ldots \]

If \( 0 < b < a \), the value of the above series is?

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