Updated the definition of Infinite Series based on definition supplie…

…d by Professor Herbert Gross in MIT's Calculus Revisited Open Courseware course.
tommytwoeyes · Oct 23, 2015 · bc716f7 · bc716f7
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diff --git a/11_Infinite_Seq_and_Series/.ipynb_checkpoints/S11.2_Infinite_Series-checkpoint.ipynb b/11_Infinite_Seq_and_Series/.ipynb_checkpoints/S11.2_Infinite_Series-checkpoint.ipynb
@@ -22,6 +22,13 @@
     "---\n",
     "\n",
     "## Calculating Infinite Sums\n",
+    "\n",
+    "<p class='lead'>\n",
+    "The <strong>sum of a series</strong> = the <strong>limit of the sequence of partial sums.</strong>&mdash;_i.e.:_\n",
+    "</p>\n",
+    "\n",
+    "$$\\sum a_n = \\lim_{n \\to \\infty} S_n \\quad \\text{ where } S_n = \\text{ the sequence of partial sums }$$\n",
+    "\n",
     "Since infinite sums always have more terms, no matter where you stop counting, the method for calculating the sum of an infinite series is:\n",
     "\n",
     "1. Evaluate the result of adding the first $n$ terms, then stopping. The sum of the first $n$ terms is called the __[Nth Partial Sum](#partial_sum).__\n",

diff --git a/11_Infinite_Seq_and_Series/S11.2_Infinite_Series.ipynb b/11_Infinite_Seq_and_Series/S11.2_Infinite_Series.ipynb
@@ -22,6 +22,13 @@
     "---\n",
     "\n",
     "## Calculating Infinite Sums\n",
+    "\n",
+    "<p class='lead'>\n",
+    "The <strong>sum of a series</strong> = the <strong>limit of the sequence of partial sums.</strong>&mdash;_i.e.:_\n",
+    "</p>\n",
+    "\n",
+    "$$\\sum a_n = \\lim_{n \\to \\infty} S_n \\quad \\text{ where } S_n = \\text{ the sequence of partial sums }$$\n",
+    "\n",
     "Since infinite sums always have more terms, no matter where you stop counting, the method for calculating the sum of an infinite series is:\n",
     "\n",
     "1. Evaluate the result of adding the first $n$ terms, then stopping. The sum of the first $n$ terms is called the __[Nth Partial Sum](#partial_sum).__\n",