IUM-03-Short Series of Functions

Transcript

1. pineapple.cc ௕࡚େֶ৘ใσʔλՊֶ෦ େֶ਺ֶೖ໳
    Introduction to University Mathematics
2. pineapple.cc ؔ਺
   function
6. pineapple.cc ܭࢉػՊֶͰ͸ʜʜ w ଟ߲ࣜʹؚΉ΋ͷ
   w
   w
   w ଟ߲ࣜʹؚ·ͳ͍΋ͷ
   w xn + xn−1 + ⋯ + x + 1 log x nx
7. pineapple.cc 1ର/1໰୊
8. pineapple.cc ϑΟϘφον਺ྻ f0 ≜ 1 f1 ≜ 1 fn ≜ fn−1 + fn−2 where n ≥ 2
10. pineapple.cc ؔ਺ྻ
    series of functions
11. pineapple.cc fn (x) ≜ xn
12. pineapple.cc f0 (x) = x0 = 1 f1 (x) = x f2 (x) = x2 f3 (x) = x3
13. pineapple.cc lim n→∞ fn (x) = lim n→∞ (xn) = 0 where − 1 < x < 1 1 where x = 1 (NaN) otherwise
14. pineapple.cc ∞ ∑ n=1 fn (x) = ∞ ∑ n=1 (xn) = x 1 − x where − 1 < x < 1 (NaN) otherwise
15. pineapple.cc ͸͞Έ͏ͪͷݪཧ
    squeeze theorem
18. pineapple.cc େֶͷزԿֶ
19. University of Nevada, Las Vegas Round Earth Clues…
22. pineapple.cc
23. pineapple.cc