T/F?
Posted: Thu Jul 14, 2022 4:10 pm
T/F?
1. If f(x)=n=1∑∞nxn−1 for all x∈(−1,1), then a. f(x)=x2−1 b. f(x)=(1+x)2−1 c. f(x)=(1−x)21 d. f(x)=−ln(1−x) e. None of the above 2. If f(x)=n=0∑∞n+1xn+1 for all x∈[−1,1), then a. f(x)=ln(1+x) b. f(x)=−ln(1+x) c. f(x)=ln(1−x) d. f(x)=−ln(1−x) e. None of the above
1. If f(x)=n=1∑∞nxn−1 for all x∈(−1,1), then a. f(x)=x2−1 b. f(x)=(1+x)2−1 c. f(x)=(1−x)21 d. f(x)=−ln(1−x) e. None of the above 2. If f(x)=n=0∑∞n+1xn+1 for all x∈[−1,1), then a. f(x)=ln(1+x) b. f(x)=−ln(1+x) c. f(x)=ln(1−x) d. f(x)=−ln(1−x) e. None of the above