A = ( \(\dfrac{1}{2}\) + 1)(\(\dfrac{1}{3}\) + 1).(\(\dfrac{1}{4}\) + 1)....(\(\dfrac{1}{999}\) + 1)
A = \(\dfrac{3}{2}\).\(\dfrac{4}{3}\).\(\dfrac{5}{4}\).......\(\dfrac{1000}{999}\)
A = \(\dfrac{3.4.5......999}{3.4.5......999}\). \(\dfrac{1000}{2}\)
A = 1 \(\times\) 500
A = 500