#### To determine

Whether the series is convergent or divergent.

#### Answer

The series is divergent.

#### Explanation

**Result used**:

The
p
*-*series
∑n=1∞1np
is convergent if
p>1
and divergent if
p≤1
.

**Given:**

The series is
∑n=1∞n−0.9999
.

**Conclusion:**

The given series can be written as follows,

∑n=1∞n−0.9999=∑n=1∞1n0.9999

Here,
p=0.9999 and p<1.

Use the result stated above, the values of *p* is not greater than one and it can be concluded that the given series
∑n=1∞n−0.9999
is divergent.