DOCS: use non-deprecated method in doc examples (#44491)

Author: attack68

doc/source/user_guide/style.ipynb

@@ -242,7 +242,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "s = df.style.format('{:.0f}').hide_columns([('Random', 'Tumour'), ('Random', 'Non-Tumour')])\n",
+    "s = df.style.format('{:.0f}').hide([('Random', 'Tumour'), ('Random', 'Non-Tumour')], axis=\"columns\")\n",
     "s"
    ]
   },
@@ -1384,7 +1384,7 @@
     "            .applymap(style_negative, props='color:red;')\\\n",
     "            .applymap(lambda v: 'opacity: 20%;' if (v < 0.3) and (v > -0.3) else None)\\\n",
     "            .set_table_styles([{\"selector\": \"th\", \"props\": \"color: blue;\"}])\\\n",
-    "            .hide_index()\n",
+    "            .hide(axis=\"index\")\n",
     "style1"
    ]
   },