The Series to Ad Infinitum part I

Calculus Level 3

1+142!+1164!+1646!+=? \large 1+\dfrac{1}{4 \cdot 2!} +\dfrac{1}{16 \cdot 4!} + \dfrac{1}{64 \cdot 6!} + \ldots = \text{?} \quad \quad \quad

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