<prompt> Kokotoa bidhaa kushoto1-frac41kuliakushoto1-frac49kuliakushoto1-frac425 kulia cdots  <response>: Kwa N geq 2, fafanua a_Nleft1-frac41kuliakushoto1-frac49kuliakushoto 1-frac425kulia cdotsleft1-frac42 N-12kulia . Tatizo linatuomba tutafute lim _N rightarrow infty a_N. Bidhaa inayobainisha kwa darubini a_N kama ifuatavyo: beginaligned a_N leftleft1-frac21kulialeft1 frac21kuliakushotokushoto1-frac23kuliakushoto1frac23kulia kulia cdotskushotokushoto1-frac22 N-1kuliakushoto1frac22 N-1kuliakulia -1 cdot 3kushotofrac13 cdot frac53kulialeftfrac35 cdot frac 75kulia cdotsleftfrac2 N-32 N-1 cdot frac2 N12 N-1right-frac 2 N12 N-1 . mwishoiliyopangwa Hivyo bidhaa isiyo na kikomo ni sawa na lim _N mshale wa kulia infty a_N-lim _N mshale wa kulia infty frac2 N1 2 N-1-1 . 