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Ex 6 este in poza de mai sus... dau cororana!!!

Ex 6 Este In Poza De Mai Sus Dau Cororana class=

Răspuns :

[(1-1/2)(1-1/3)...(1-1/10)]^-1=[(2/2-1/2)(3/3-1/3)...(10/10-1/10)]^-1=[(1-1/2)(1-1/3)...(1-1/10)]^-1=[(1/2)(2/3)...(9/10)]^-1=[(1*2*3*...*9)/(2*3*4*...*10)]^-1=(9!/10!)^-1=[9!/(10*9!)]^-1=(1/10)^-1=10
=[(2/2-1/2)(3/3-1/3)...(10/10-1/10)]^(-1)=
=(1/2*2/3*...*9/10)^(-1)=
=[(1*2*3*...*9)/(2*3*...*10)]^(-1)=
=(1/10)^(-1)=
=10