Page 1 of 1
Evaluate the power series expansion ln(1+x)=n=1∑∞(−1)n−1nxn at x=1 to show that ln(2) is the sum of the alternating ha
Posted: Thu Jul 14, 2022 4:21 pm
by answerhappygod
- Evaluate The Power Series Expansion Ln 1 X N 1 1 N 1nxn At X 1 To Show That Ln 2 Is The Sum Of The Alternating Ha 1 (32.44 KiB) Viewed 41 times
Evaluate the power series expansion ln(1+x)=n=1∑∞(−1)n−1nxn at x=1 to show that ln(2) is the sum of the alternating harmonic series. Then use the alternating series test to determine how many terms of the sum are needed to estimate ln(2) accurate to within 0.001. Number of terms needed is: