diff --git a/pandas/_config/config.py b/pandas/_config/config.py
index ebf2ba2510aa4..2f0846e0808ed 100644
--- a/pandas/_config/config.py
+++ b/pandas/_config/config.py
@@ -583,12 +583,6 @@ def _get_root(key: str) -> tuple[dict[str, Any], str]:
     return cursor, path[-1]
 
 
-def _is_deprecated(key: str) -> bool:
-    """Returns True if the given option has been deprecated"""
-    key = key.lower()
-    return key in _deprecated_options
-
-
 def _get_deprecated_option(key: str):
     """
     Retrieves the metadata for a deprecated option, if `key` is deprecated.
diff --git a/pandas/core/computation/ops.py b/pandas/core/computation/ops.py
index 062e9f43b2eb9..cd9aa1833d586 100644
--- a/pandas/core/computation/ops.py
+++ b/pandas/core/computation/ops.py
@@ -320,12 +320,6 @@ def _not_in(x, y):
 )
 _arith_ops_dict = dict(zip(ARITH_OPS_SYMS, _arith_ops_funcs))
 
-SPECIAL_CASE_ARITH_OPS_SYMS = ("**", "//", "%")
-_special_case_arith_ops_funcs = (operator.pow, operator.floordiv, operator.mod)
-_special_case_arith_ops_dict = dict(
-    zip(SPECIAL_CASE_ARITH_OPS_SYMS, _special_case_arith_ops_funcs)
-)
-
 _binary_ops_dict = {}
 
 for d in (_cmp_ops_dict, _bool_ops_dict, _arith_ops_dict):
diff --git a/pandas/core/missing.py b/pandas/core/missing.py
index 3a5bf64520d75..de26ad14a7b7a 100644
--- a/pandas/core/missing.py
+++ b/pandas/core/missing.py
@@ -801,59 +801,6 @@ def _cubicspline_interpolate(
     return P(x)
 
 
-def _interpolate_with_limit_area(
-    values: np.ndarray,
-    method: Literal["pad", "backfill"],
-    limit: int | None,
-    limit_area: Literal["inside", "outside"],
-) -> None:
-    """
-    Apply interpolation and limit_area logic to values along a to-be-specified axis.
-
-    Parameters
-    ----------
-    values: np.ndarray
-        Input array.
-    method: str
-        Interpolation method. Could be "bfill" or "pad"
-    limit: int, optional
-        Index limit on interpolation.
-    limit_area: {'inside', 'outside'}
-        Limit area for interpolation.
-
-    Notes
-    -----
-    Modifies values in-place.
-    """
-
-    invalid = isna(values)
-    is_valid = ~invalid
-
-    if not invalid.all():
-        first = find_valid_index(how="first", is_valid=is_valid)
-        if first is None:
-            first = 0
-        last = find_valid_index(how="last", is_valid=is_valid)
-        if last is None:
-            last = len(values)
-
-        pad_or_backfill_inplace(
-            values,
-            method=method,
-            limit=limit,
-            limit_area=limit_area,
-        )
-
-        if limit_area == "inside":
-            invalid[first : last + 1] = False
-        elif limit_area == "outside":
-            invalid[:first] = invalid[last + 1 :] = False
-        else:
-            raise ValueError("limit_area should be 'inside' or 'outside'")
-
-        values[invalid] = np.nan
-
-
 def pad_or_backfill_inplace(
     values: np.ndarray,
     method: Literal["pad", "backfill"] = "pad",
diff --git a/pandas/plotting/_misc.py b/pandas/plotting/_misc.py
index 38fa0ff75cf66..af7ddf39283c0 100644
--- a/pandas/plotting/_misc.py
+++ b/pandas/plotting/_misc.py
@@ -637,8 +637,7 @@ class _Options(dict):
     _ALIASES = {"x_compat": "xaxis.compat"}
     _DEFAULT_KEYS = ["xaxis.compat"]
 
-    def __init__(self, deprecated: bool = False) -> None:
-        self._deprecated = deprecated
+    def __init__(self) -> None:
         super().__setitem__("xaxis.compat", False)
 
     def __getitem__(self, key):
diff --git a/pandas/tests/computation/test_eval.py b/pandas/tests/computation/test_eval.py
index c24f23f6a0f2e..8f14c562fa7c3 100644
--- a/pandas/tests/computation/test_eval.py
+++ b/pandas/tests/computation/test_eval.py
@@ -48,7 +48,6 @@
 )
 from pandas.core.computation.ops import (
     ARITH_OPS_SYMS,
-    SPECIAL_CASE_ARITH_OPS_SYMS,
     _binary_math_ops,
     _binary_ops_dict,
     _unary_math_ops,
@@ -266,7 +265,7 @@ def test_chained_cmp_op(self, cmp1, cmp2, lhs, midhs, rhs, engine, parser):
                 tm.assert_almost_equal(result, expected)
 
     @pytest.mark.parametrize(
-        "arith1", sorted(set(ARITH_OPS_SYMS).difference(SPECIAL_CASE_ARITH_OPS_SYMS))
+        "arith1", sorted(set(ARITH_OPS_SYMS).difference({"**", "//", "%"}))
     )
     def test_binary_arith_ops(self, arith1, lhs, rhs, engine, parser):
         ex = f"lhs {arith1} rhs"
diff --git a/pandas/tests/config/test_config.py b/pandas/tests/config/test_config.py
index 205603b5768e5..5b1d4cde9fb59 100644
--- a/pandas/tests/config/test_config.py
+++ b/pandas/tests/config/test_config.py
@@ -123,9 +123,11 @@ def test_case_insensitive(self):
         msg = r"No such keys\(s\): 'no_such_option'"
         with pytest.raises(OptionError, match=msg):
             cf.get_option("no_such_option")
-        cf.deprecate_option("KanBan")
 
-        assert cf._is_deprecated("kAnBaN")
+        cf.deprecate_option("KanBan")
+        msg = "'kanban' is deprecated, please refrain from using it."
+        with pytest.raises(FutureWarning, match=msg):
+            cf.get_option("kAnBaN")
 
     def test_get_option(self):
         cf.register_option("a", 1, "doc")
@@ -268,7 +270,6 @@ def test_deprecate_option(self):
         # we can deprecate non-existent options
         cf.deprecate_option("foo")
 
-        assert cf._is_deprecated("foo")
         with tm.assert_produces_warning(FutureWarning, match="deprecated"):
             with pytest.raises(KeyError, match="No such keys.s.: 'foo'"):
                 cf.get_option("foo")