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Suma de la serie ((-1)^n)*(x^(2n+1))/(2n+1)!



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Solución

Ha introducido [src]
  8                 
____                
\   `               
 \        n  2*n + 1
  \   (-1) *x       
  /   --------------
 /      (2*n + 1)!  
/___,               
n = 0               
$$\sum_{n=0}^{8} \frac{\left(-1\right)^{n} x^{2 n + 1}}{\left(2 n + 1\right)!}$$
Sum(((-1)^n*x^(2*n + 1))/factorial(2*n + 1), (n, 0, 8))
Respuesta [src]
     3     7       11            15          5      9         13              17      
    x     x       x             x           x      x         x               x        
x - -- - ---- - -------- - ------------- + --- + ------ + ---------- + ---------------
    6    5040   39916800   1307674368000   120   362880   6227020800   355687428096000
$$\frac{x^{17}}{355687428096000} - \frac{x^{15}}{1307674368000} + \frac{x^{13}}{6227020800} - \frac{x^{11}}{39916800} + \frac{x^{9}}{362880} - \frac{x^{7}}{5040} + \frac{x^{5}}{120} - \frac{x^{3}}{6} + x$$
x - x^3/6 - x^7/5040 - x^11/39916800 - x^15/1307674368000 + x^5/120 + x^9/362880 + x^13/6227020800 + x^17/355687428096000

    Ejemplos de hallazgo de la suma de la serie