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uniform limit theorem

theorem that the uniform limit of a sequence of continuous functions is continuous

en-GB/ˈjuːnɪfɔːm ˈlɪmɪt ˈθɪəɹəm/
en-US/ˈjunəˌfɔɹm ˈlɪmət ˈθɪɹəm/

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theorem