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Limited developments
Derivatives of e^x and cos(x)
MCQ
What is the third-order expansion to zero of the function f(x) = e^x - cos(x)?
Possible answers
x
+
x
2
+
x
3
6
+
o
(
x
3
)
x + x^2 + \dfrac{x^3}{6} + o(x^3)
x
+
x
2
+
6
x
3
+
o
(
x
3
)
x
+
x
3
6
+
o
(
x
3
)
x + \dfrac{x^3}{6} + o(x^3)
x
+
6
x
3
+
o
(
x
3
)
2
x
+
x
2
2
+
o
(
x
3
)
2x + \dfrac{x^2}{2} + o(x^3)
2
x
+
2
x
2
+
o
(
x
3
)
x
+
x
2
2
+
x
3
6
+
o
(
x
3
)
x + \dfrac{x^2}{2} + \dfrac{x^3}{6} + o(x^3)
x
+
2
x
2
+
6
x
3
+
o
(
x
3
)
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