Skip to content
free
K
1
2
practice
Home
Math
English
Science
Social Studies
Contact
Language
English
Español
Sign In
/
Math
/
Calculus II
/
Maclaurin Series for Common Functions
Worksheet
Grade Level
Calculus II
CAL2.143 Maclaurin Series for Common Functions
0%
Skill Level
🔴 Hard
00:00
Progress to Next Level
25% to Medium
Easy
Medium
Hard
Mastery
100%
Which choice gives the Maclaurin series for ln(1+5x
2
) and includes the endpoints where it still represents the function?
A
sum_{n=1}^∞ (-1)
n+1
5
n
x
2n
/n!, -1/sqrt(5)
B
sum_{n=0}^∞ (5x
2
)
n
, ∣x∣ <1/sqrt(5)
C
sum_{n=0}^∞ (-1)
n
(5x
2
)
2n
/(2n)!, all real x
D
sum_{n=1}^∞ (-1)
n+1
5
n
x
2n
/n, -1/sqrt(5) <= x <= 1/sqrt(5)
Submit Answer
