The value of (1 – 1/2)(1 – 1/3)(1 – 1/4) … (1 – 1/n)(1 – 1/2)(1 – 1/3)(1 – 1/4) … (1 – 1/n)
The value of
(1 – 1/2)(1 – 1/3)(1 – 1/4) … (1 – 1/n)
is
(1 – 1/2)(1 – 1/3)(1 – 1/4) … (1 – 1/n)
का मान है
Show answerHide answer
Correct answer: (B) 1/n1/n
Explanation
The product is (1/2)(2/3)(3/4)…((n-1)/n); every numerator cancels the previous denominator, leaving 1/n.गुणनफल (1/2)(2/3)(3/4)…((n−1)/n) है; प्रत्येक अंश पिछले हर को काट देता है, इसलिए शेष 1/n रहता है।