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IUM-03-Short Series of Functions
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kanaya
May 13, 2025
Education
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IUM-03-Short Series of Functions
kanaya
May 13, 2025
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Transcript
pineapple.cc ࡚େֶใσʔλՊֶ෦ େֶֶೖ Introduction to University Mathematics
pineapple.cc ؔfunction
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None
None
pineapple.cc ܭࢉػՊֶͰʜʜ w ଟ߲ࣜʹؚΉͷ w w w ଟ߲ࣜʹؚ·ͳ͍ͷ
w xn + xn−1 + ⋯ + x + 1 log x nx
pineapple.cc 1ର/1
pineapple.cc ϑΟϘφονྻ f0 ≜ 1 f1 ≜ 1 fn ≜
fn−1 + fn−2 where n ≥ 2
None
pineapple.cc ؔྻseries of functions
pineapple.cc fn (x) ≜ xn
pineapple.cc f0 (x) = x0 = 1 f1 (x) =
x f2 (x) = x2 f3 (x) = x3
pineapple.cc lim n→∞ fn (x) = lim n→∞ (xn) =
0 where − 1 < x < 1 1 where x = 1 (NaN) otherwise
pineapple.cc ∞ ∑ n=1 fn (x) = ∞ ∑ n=1
(xn) = x 1 − x where − 1 < x < 1 (NaN) otherwise
pineapple.cc ͞Έ͏ͪͷݪཧ squeeze theorem
None
None
pineapple.cc େֶͷزԿֶ
University of Nevada, Las Vegas Round Earth Clues…
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None
pineapple.cc
pineapple.cc