若有理数a b 满足|a-1|+(b-3)^2=0,试求 1/ab+1/(a+2)(b+2)+1/(a+4)(b+4)…
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若有理数a b 满足|a-1|+(b-3)^2=0,试求 1/ab+1/(a+2)(b+2)+1/(a+4)(b+4)……+1/(a+100)(b)
若有理数a b 满足|a-1|+(b-3)^2=0,试求
1/ab+1/(a+2)(b+2)+1/(a+4)(b+4)……+1/(a+100)(b+100)的值
若有理数a b 满足|a-1|+(b-3)^2=0,试求
1/ab+1/(a+2)(b+2)+1/(a+4)(b+4)……+1/(a+100)(b+100)的值
因为有理数a b 满足|a-1|+(b-3)^2=0,所以 a=1,b=3 (因为绝对值和平方内都只能=0,)
代入原式为
1/3 + 1/(3*5) + 1/(5*7) + .+ 1/(101*103) = 1/2((1/1 - 1/3) + (1/3- 1/5) +(1/5 -1/7)+.(1/101 - 1/103)) =51/103
代入原式为
1/3 + 1/(3*5) + 1/(5*7) + .+ 1/(101*103) = 1/2((1/1 - 1/3) + (1/3- 1/5) +(1/5 -1/7)+.(1/101 - 1/103)) =51/103
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