The series generated by a perturbation approach does not necessarily converge. Asymptotic methods use a mathematical apparatus of a somewhat peculiar nature — asymptotic series. They diverge but still approximate the functions in hand in a certain sense. Briefly, we can say that a convergent series represents a function at x = x 0, n → ∞ (Fig. 1.1), while an asymptotic series is valid for n = n 0, x → x 0 (Fig. 1.2).
KeywordsAsymptotic Approximation Main Term Asymptotical Series Integration Interval Dimensional Quantity
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