Question

1/k! - K*2+K/(k+2)! решите с объяснением.​

Answer 1

Ответ:

Объяснение:

1/k!-(k²+k)/(k+2)!=1/k!-(k*(k+1)/(k!*(k+1)*(k+2))=((k+1)*(k+2)-k*(k+1))/(k+2)!=

=(k+1)*(k+2-k)/(k+2)!=2*(k+1)/(k+2)!=2*(k+1)/(k!*(k+1)*(k+2))=2/(k!*(k+2).