已知函数f(x)=4^x/(4^x+2) (1)求f(a)+f(1-a)的值 (2)求f(1/100)+f(2/100)+f(3/100)+……+f(99/100)

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已知函数f(x)=4^x/(4^x+2) (1)求f(a)+f(1-a)的值 (2)求f(1/100)+f(2/100)+f(3/100)+……+f(99/100)

已知函数f(x)=4^x/(4^x+2) (1)求f(a)+f(1-a)的值 (2)求f(1/100)+f(2/100)+f(3/100)+……+f(99/100)
已知函数f(x)=4^x/(4^x+2) (1)求f(a)+f(1-a)的值 (2)求f(1/100)+f(2/100)+f(3/100)+……+f(99/100)

已知函数f(x)=4^x/(4^x+2) (1)求f(a)+f(1-a)的值 (2)求f(1/100)+f(2/100)+f(3/100)+……+f(99/100)
f(x)=4^x/(4^x+2)=1-2/(4^x+2)
f(a)+f(1-a)
=1-2/(4^a+2)+1-2/(4^(1-a)+2)
=2-2[1/(4^a+2)+1/(4/4^a+2)]
=2-2[1/(4^a+2)+4^a/(2*4^a+4)]
=2-2[1/(4^a+2)+1/2*4^a/(4^a+2)]
=2-2(1+1/2*4^a)/(4^a+2)
=1
f(1/100)+f(2/100)+f(3/100)+……+f(99/100)
=f(1/100)++f(99/100)+f(2/100)+f(98/100)+……+f(49/100)+f(51/100)+f(50/100)
=49+f(1/2)
=49+2/(2+2)
=49.5