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print(); # input placeholder

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LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%;

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

Notice that error decreases as x tends to infinity when epsilon=1, but that the error is uniformly asymptotic for epsilon<<1. JSFH JSFH JSFH JSFH