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    Infer the most likely frequency given the input index.

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    Returns
    -------
    str or None
        None if no discernible frequency.

    Raises
    ------
    TypeError
        If the index is not datetime-like.
    ValueError
        If there are fewer than three values.

    Examples
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    >>> idx = pd.date_range(start='2020/12/01', end='2020/12/30', periods=30)
    >>> pd.infer_freq(idx)
    'D'
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