Question

第一题怎么做? 求极限

Answer 1

解           ( 1+n^2016 )'                                  2016x(n^2015)'    

lim-------------------------------------=lim---------------------------------------

n→∞ [(n+1)^2017-n^2017)]'       n→∞   2017[ (1+n)^2016 -n^2016]'

同理      2016x2015x...2x1                     1 

=lim------------------------------- =       ---------

n→∞     2017x2016x...2                    2017

Answer 2

(n+1)^2017-n^2017=n^2017+2017*n^2016+......+1-n^2017=2017*n^2016+......+1
极限为1/2017