[Python] Raising a float near 1 to an infinite power in Python

1.000000000000001 ** float('inf') == float('inf')


while

1.0000000000000001 ** float('inf') == 1.0


What determines the exact threshold here? It seems to be an issue of float precision, where numbers below a certain threshold are considered the same as 1.0. Is there a way to get better precision in Python?

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