1.fn(x)=min(xnn!,(1−x)nn!)f_n(x)=\min(\frac{x^n}{n!},\frac{(1-x)^n}{n!})fn(x)=min(n!xn,n!(1−x)n), x∈[0,1]x\in[0,1]x∈[0,1]. In=∫01fn(x)dxI_n=\int_0^1 f_n(x)dxIn=∫01fn(x)dx. ∑n=1∞In\sum_{n=1}^\infty I_n∑n=1∞In isa.2e−32\sqrt{e}-32e−3b.2e−22\sqrt{e}-22e−2c.2e−12\sqrt{e}-12e−1d.2e2\sqrt{e}2eLogin to continueOnly logged in users canattempt or see the solution.
