The value of (1-1/2) (1-1/3) (1-1/4) … (1-1/m) is · ABC26GN1068
Subject: General Aptitude · Chapter: Simplification · Exam: P.C.S. 2008
The value of $\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right) \cdots\left(1-\frac{1}{m}\right)$ is
(a)1
(b)$\frac{1}{m}$
(c)$\frac{1}{2 m}$
(d)$\frac{1}{1 \cdot 2 \cdot 3 \cdots \cdot(m-1) m}$
Answer
Explanation
Given $\exp .=\frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} \times \ldots . . \times \frac{m-1}{m}=\frac{1}{m}$.
Explanation as extracted from the printed page; notation may be imperfect.
Study loop for Simplification
· Browse this chapter in the app