수학1_지수법칙_난이도 중

다음 식의 값은?

 

\(\dfrac{1}{2^{-100}+1}+\dfrac{1}{2^{-99}+1}+\cdots+\dfrac{1}{2^{-1}+1}+\dfrac{1}{2^{0}+1}\)

 

                                                \(+\dfrac{1}{2^{1}+1}+\cdots+\dfrac{1}{2^{99}+1}+\dfrac{1}{2^{100}+1}\)

 

① \(50\)          ② \(\dfrac{101}{2}\)          ③ \(100\)          ④ \(\dfrac{201}{2}\)          ⑤ \(200\)

 

 

 

정답 ④