(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am trying to find the Tn(x) for sqrt[x] centered at a=1

2. Relevant equations

3. The attempt at a solution

right now i have

f'(x)=1/2x^-1/2

f''(x)=-1/4x^-3/2

f'''(x)=3/8x^-5/2

f''''(x)=-15/16x^-7/2

f'(1)=1/2

f''(1)=-1/4

f'''(1)=3/8

f''''(1)=-15/16

how do i find the coefficient for the nth term?? i keep getting stuck

i tried n/2+1/(-2)^n.. doesn't work

or 1/(-2)^n*(n/2-1)....fail

help please

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Taylor series expansion

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**