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Math Drills
Series & Taylor expansions
Taylor expansions
Practice 1
Series & Taylor expansions
Taylor expansions
1 / 5
Basic
Find the Maclaurin expansion of the function up to the given degree.
T
3
[
e
x
]
\operatorname{T}_{3}\left[e^{x}\right]
T
3
[
e
x
]
1
1
+
x
+
x
2
2
+
x
3
6
1 + x + \frac{x^{2}}{2} + \frac{x^{3}}{6}
1
+
x
+
2
x
2
+
6
x
3
2
1
+
x
+
x
2
2
+
x
3
3
1 + x + \frac{x^{2}}{2} + \frac{x^{3}}{3}
1
+
x
+
2
x
2
+
3
x
3
3
1
−
x
+
x
2
2
−
x
3
6
1 - x + \frac{x^{2}}{2} - \frac{x^{3}}{6}
1
−
x
+
2
x
2
−
6
x
3
4
1
+
x
+
x
2
+
x
3
1 + x + x^{2} + x^{3}
1
+
x
+
x
2
+
x
3
Answer
