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Ammy
a fost răspuns

Calculati: I1/2 - 2/3I + I2/3-3/4I + I3/4-4/5I + I4/5-5/6I +....I1999/2000-2000/2001I.
Va rog, ajutati-ma. Multumesc

Răspuns :

Milumil2000
I1/2 - 2/3I + I2/3-3/4I + I3/4-4/5I + I4/5-5/6I +....I1999/2000-2000/2001I=
=-1/2 + 2/3 -2/3+3/4-3/4+4/5-4/5+5/6I -....-1999/2000+2000/2001=
=2000/2001-1/2=(4000-2001)/4002=1999/4002

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