A、√ n + 1 − n > √ n + 3 − √ n + 2 ( n ∈ N ∗ ) \sqrt{n+1}-n>\sqrt{n+3}-\sqrt{n+2}({n∈{N^*}})
B、√ n + 1 − n > √ n + 3 − n ( n ∈ N ∗ ) \sqrt{n+1}-n>\sqrt{n+3}-n({n∈{N^*}})
C、√ n + 1 − √ n > √ n + 3 − √ n + 2 ( n ∈ N ∗ ) \sqrt{n+1}-\sqrt{n}>\sqrt{n+3}-\sqrt{n+2}({n∈{N^*}})
D、√ n + 1 − √ n > n − √ n + 2 ( n ∈ N ∗ ) \sqrt{n+1}-\sqrt{n}>n-\sqrt{n+2}({n∈{N^*}})