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#3: Find a power series representation of the following function and determine the radius of convergence. f(x)=6+x4x2 (
Posted: Thu Jul 14, 2022 4:40 pm
by answerhappygod
- 3 Find A Power Series Representation Of The Following Function And Determine The Radius Of Convergence F X 6 X4x2 1 (48.28 KiB) Viewed 39 times
#3: Find a power series representation of the following function and determine the radius of convergence. f(x)=6+x4x2 (A) n=0∑∞(−1)n+16n+1x4n+3,R=61/4 (B) n=0∑∞(−1)n6n+1x4n+2,R=61/4 (C) n=0∑∞(−1)n+16nx4n+2,R=61/4 (D) n=0∑∞(−1)n+16nx4n+2,R=2 (E) n=0∑∞(−1)n6n+1x4n+2,R=2 (F) n=0∑∞(−1)n6nx4n+3,R=2 (G) n=0∑∞(−1)n+16n+1x4n+3,R=2 (H) n=0∑∞(−1)n6nx4n+3,R=61/4 Problem #3: #lem #4 Evaluate the following integral as a power series. ∫ln(1−x4)dx (A) n=0∑∞(5n+1)(5n)x5n+1 (B) −n=0∑∞(4n+3)(4n)x4n+5(C)−n=0∑∞(n+1)(4n+5)x4n+5 (D) n=0∑∞(n+1)(5n+3)(−1)nx5n+3 (E) −n=0∑∞(n+1)(4n+4)x4n+4 (F) n=0∑∞(n+1)(4n+4)(−1)nx4n+4 (G) n=0∑∞(n+1)(4n+5)(−1)nx4n+5 (H)−n=0∑∞(n+1)(5n+3)x5n+3