    -----  SERIES -----          * HIPERGEOMETRICAS:            Convergencia.- Q > A + B        A(n+1)/An = An + B/ An+Q        An/A(n-1) = A(n-1)+B/A(n-1)+Q   --SUMA-- a1 Q / Q-B-A
 * DE EULER                     -Hn= LN +Q+En => 1+1/2+1/3+.+1/n- Suma de terminos pares:        Pn= 1/2+1/4+...+1/2n = 1/2 Hn  - Suma de terminos negativos:    In=1/3+1/5+...1+/2n-1 =             = H2n - Pn= H2n - 1/2 Hn
* BASADAS EN e                  n! = n^n e^-n SQR2PIn           X^n/n!=e^X // 1/n!=e          1/n^2= PI^2/6                  1/(2n)^2= PI^2/24              1/(2n-1)^2= PI^2/8             1/n ==> SERIE ARMONICA DIVERG  1/n^A ===> A>1 --> S. CONVERG.
--- CUADRO DE INFINITESIMOS ---  . LN(1+-E) <> E                  . 1-COSE <> E^2/2               . K^E-1 <> E LNK                . e^K-1 <> E                    . (1+E)^m -1 <> mE              . SINE <> E                     . TANE <> E
 . ARCSINE <> E                  . ARCTANE <> E
  **** STIRLING ***              n! <> SQR(2*PI*n) n^n e^-n
 *** L I M I T E S ***          2^n=(1+1)^n=(n 0)+(n 1)+..+(n n) . En una sucesion si existe el Lim An/An-1=$  existe              Lim (An)^1/n=$
  --- INFINT. DE SUCESIONES --   . A^1/n -1 <>  1/n LN A         . (n^3-An^2)1/3<> (n^3)1/3<>n  (A+B)^P=A^p + pA^p-1*B + p(p-1)/2*A^p-2*B^2 + ......
  ***DESARROLLOS DE TAYLOR ***  .COSX=1-X2/2+X4/4!-X6/6!+....   .TANX=X+X3/3+2X5/15+17X7/315+....COTX=1/X-X/3-X3/45-2X5/945-.....SIN^-1 = X+ 1/2.3 X3 +          1.3/2.4.5X5 + 1.3.5/2.4.6.7X7  .COS^-1 =PI/2-(X+1/2.3X3+1.3/2.4.5X5+....
.e^X=1+X+X2/2!+X3/3!+...        .a^X=1+xLNa+(xLNa)^2/2!+()^3/3! .LN(1+X)=X-X2/2+X3/3-X4/4+...   .LNX=(X-1/X)+1/2(X-1/X)^2+1/3(X-1/X)^3+....                     .e^SINX=1+X+X2/2-X4/8-X5/15+... .e^XSINX=X+X2+2X3/3-X5/30-X6/90+.e^XCOSX=1+X-X3/3-X4/6+...
LN(1+X)/1+X=X-(1+1/2)X2+(1+1/2+1/3)X3-.....                     .SINX=X-X3/3!+X5/5!-X7/7!+....
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