# My Generous Uncle

Calculus Level 2

My uncle says he'll deposit some money into my bank account. He'll deposit $$x$$ (where $$x < 2$$) dollars on the first day, $$\dfrac{x^2}{2}$$ dollars on the second day, $$\dfrac{x^3}{4}$$ dollars on the third day, $$\dfrac{x^4}{8}$$ dollars on the fourth day, and so on forever.

Which expression represents the amount of money that will be delivered into my bank account?

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