1.
(x−1)−12 (x−1)2+13 (x−1)3−14 (x−1)4+15 (x−1)5+…
2.
∑n=0∞(−1)nx2n(2n)!
3.
1−(x−1)+(x−1)2−(x−1)3+(x−1)4+…
4.
∑n=0∞xn
5.
4−4(x−1)+4(x−1)2−4(x−1)3+4(x−1)4+…
6.
(x−1)−12 (x−1)2+13 (x−1)3−14 (x−1)4+15 (x−1)5+…
7.
∑n=1∞(−1)n+1xnn
8.
1−2(x−1)+3(x−1)2−4(x−1)3+5(x−1)4+…
9.
2−2(x−1)+2(x−1)2−2(x−1)3+2(x−1)4+…
10.
1−x+12 x2−16 x3+124 x4+…