第三问,由(2)得F(X)min=f(0)=1,F(1)=a+1-ina,F(-1)=1/a +ina+1,下面以a为主元,
F(1)-F(0)=a-ina>e-1解之得a≥e或0<a≤b(设一常量),
F(-1)-F(0)=1/a +ina≥e-1解之得0<a≤1/e,或a≥C(设一常量)
将a=1/e带入F(1)得F(1)=1/e +1
第三问,由(2)得F(X)min=f(0)=1,F(1)=a+1-ina,F(-1)=1/a +ina+1,下面以a为主元,
F(1)-F(0)=a-ina>e-1解之得a≥e或0<a≤b(设一常量),
F(-1)-F(0)=1/a +ina≥e-1解之得0<a≤1/e,或a≥C(设一常量)
将a=1/e带入F(1)得F(1)=1/e +1