A Function Defined by a Series
Difficulty: Medium · Topics: Calculus, Limits, Sequences
Qator orqali berilgan funksiya
f(x)=lim n→∞≤ft[1+(x(1-x))/(2)+fracx^2(1-x)^22^2+·s+fracx^n(1-x)^n2^n ]
Find f≤ft(1/2 ).
f(x)=lim n→∞≤ft[1+(x(1-x))/(2)+fracx^2(1-x)^22^2+·s+fracx^n(1-x)^n2^n ]
f≤ft(1/2 ) ni toping.