Find the Taylor series for f(x)= x 2
1
​
centered at a=2. (A) ∑ n=0
[infinity]
​
2 n
(−1) n
​
(x−2) n
(B) ∑ n=0
[infinity]
​
2 n+1
(−1) n
(n+1)
​
(x−2) n
(C) ∑ n=0
[infinity]
​
2 n
(−1) n+1
​
(x−2) n
(D) ∑ n=0
[infinity]
​
2 n+1
(−1) n+1
​
(x−2) n
(E) ∑ n=0
[infinity]
​
2 n+1
(−1) n
​
(x−2) n
(F) ∑ n=0
[infinity]
​
2 n+2
(−1) n+1
(n+1)
​
(x−2) n
(G) ∑ n=0
[infinity]
​
2 n+2
(−1) n
(n+1)
​
(x−2) n
(H) ∑ n=0
[infinity]
​
2 n+1
(−1) n+1
(n+1)
​
(x−2) n