Find the Taylor series for the given function. Give the interval of convergence.f(x) = ln (1 - 2x2)

A. -2x2 - 2x4 - . . . - x2n+2 - . . . ; 
B. -2x2 + 2x4 - . . . + x2n+2 - . . . ; 
C. -2x2 - 2x4 - . . . - x2n+2 - . . . ; 
D. -2x2 + 2x4 - . . . + x2n+2 - . . . ; 


Answer: C

Mathematics

You might also like to view...

Find the Taylor polynomial of order 3 based at a for the given function.arctan 3x; a = -1

A. arctan 3 + (x + 1) + (x + 1)2 + (x + 1)3
B. arctan 3 + (x + 1) + (x + 1)2 + (x + 1)3
C. -arctan 3 + (x + 1) + (x + 1)2 + (x + 1)3
D. -arctan 3 + (x + 1) + (x + 1)2 + (x + 1)3

Mathematics

Match the graph to one of the polar equations.

A. r = 2 sin ? B. r = 2 cos ? C. r = 1 D. r sin ? = 1

Mathematics

Combine like terms to simplify the expression.4t + 4s - 8t + s

A. 5s - 4t B. 3s - 4t C. 4s - 4t D. 5s + 12t

Mathematics

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.f(x) = -4x2 + 4x

A. minimum; 
B. minimum; 
C. maximum; 
D. maximum; 

Mathematics