T/F?
Posted: Thu Jul 14, 2022 4:10 pm
T/F?
If f(x)=n=0∑∞(−1)n(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 Which of the following series represents f(x)=1+x21 on the interval (−1,1) ? a. n=0∑∞x2n b. n=0∑∞(−1)nx2n c. n=0∑∞xn+2 d. n=0∑∞(−1)nxn+2 e. None of the above
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