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