Calculus And Probability for Actuarial Students

The book Calculus And Probability for Actuarial Students was written by author Institute of Actuaries (Great Britain) Here you can read free online of Calculus And Probability for Actuarial Students book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Calculus And Probability for Actuarial Students a good or bad book?

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Example 4. 2/ = sin~' a; = «„ + Oio; + aa*' + . . . , 1 and (1- a;'') 2/1=^=1.
Differentiating (1 - x") 2y^y.^ - Ixy^ = or (^-a?)y^=-xy^.
Now sin~^ a; = — sin~^ (— x).
Therefore ao + aia; + ttaar' + ds*' + ••• = - K - Oi* + Oaa:* - asa^s + ...).
Whence a„ = aj = a^ = . . . = 0.
80 DIFFERENTIAL CALCULUS Thus we may write X 2/i = ai + Sa3x'' + ...+2n + la^+iX^ + ..., 2/2 = 3 . 2a3X + ...+2n + 1.2n. a^^x'^-'- + . . . .
Therefore + 2n + la2n+ix^ +...).
Whence ai=3.2a3, Bas = 5.4

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