we had

......nē + 2n + 2 . . .2nē + 1

. . .--------------- . .. ----------

. . . . . . nē . . . . . . . .nē

= ...nē/nē + 2n/nē + 2/nē . ... .2nē/nē + 1/nē

. . .--------------------------- . .. ------------------

. . . . ....... . nē/nē . . . . . .......... . .nē/nē

=...1 + 2/n + 2/nē . ............... .2 + 1/nē

. . .--------------------------- . .. ------------------

. . . . ....... . 1 . . . . . .......... ........ .1

= (1 + 2/n + 2/nē)(2 + 1/nē)

take the limit as n-->oo we get

= (1 + 0 + 0)(2 + 0)

= 2