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Question 0801a
Maclaurin Series
Binomial Expansion I
Question
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Find the binomial expansion of
1
1
+
1
3
x
\frac{1}{\sqrt{1 + \frac{1}{3} x}}
1
+
3
1
x
1
up to and including the term in
x
3
.
{x^3.}
x
3
.
Express your answer in the form
1
+
a
1
x
+
a
2
x
2
+
a
3
x
3
+
…
1+a_1x + a_2x^2 + a_3x^3 + \ldots
1
+
a
1
x
+
a
2
x
2
+
a
3
x
3
+
…
Attempt
a
1
=
{a_1=}
a
1
=
a
2
=
{a_2=}
a
2
=
a
3
=
{a_3=}
a
3
=
Answer
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