Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
What are the first three nonzero terms of the Maclaurin series for
e
−
x
2
e^{-x^{2}}
e
−
x
2
? a)
1
−
x
2
+
x
4
2
1 - x^{2} + \dfrac{x^{4}}{2}
1
−
x
2
+
2
x
4
b)
1
−
x
2
−
x
4
2
1 - x^{2} - \dfrac{x^{4}}{2}
1
−
x
2
−
2
x
4
c)
1
+
x
2
−
x
4
2
1 + x^{2} - \dfrac{x^{4}}{2}
1
+
x
2
−
2
x
4
d)
1
−
x
2
+
x
4
24
1 - x^{2} + \dfrac{x^{4}}{24}
1
−
x
2
+
24
x
4
Browse the problem library