Where a Sequence and a Series Agree
Difficulty: Medium · Topics: Calculus, Series, Convergence
Ketma-ketlik va qator kelishadigan joy
The geometric sequence ≤ft\≤ft((x-8)/(3) )^n \ and the geometric series Σ n=1^∞≤ft((5-x)/(3) )^n both converge.
Find the sum of all integer values of x for which this happens.
≤ft\≤ft((x-8)/(3) )^n \ geometrik ketma-ketlik va Σ n=1^∞≤ft((5-x)/(3) )^n geometrik qatorning ikkalasi ham yaqinlashadi.
Bu sodir bo‘ladigan barcha butun x qiymatlar yig‘indisini toping.