Free Version
Moderate

# Taylor Series For $\ln x$

APCALC-J4JGZH

Find the Taylor series for $f( x ) =\ln { x }$ centered at $x = 1$.

A

$\sum _{ n=0 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n+1 }{ ( x-1 ) }^{ n+1 } }{ n+1 } }$

B

$\sum _{ n=0 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n }{ ( x-1 ) }^{ n+1 } }{ n+1 } }$

C

$\sum _{ n=0 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n }{ ( x-1 ) }^{ n+1 } }{ ( n+1 ) ! } }$

D

$\sum _{ n=0 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n+1 }{ ( x-1 ) }^{ n } }{ n! } }$