# Is #f(x)=1/x-1/x^3+1/x^5# increasing or decreasing at #x=2#?

##### 1 Answer

Jan 10, 2016

Decreasing.

#### Explanation:

Decreasing at

To see why, consider a small change in

We can approximate

This approximation is most accurate for small values of

Since

for sufficiently small values of

and for sufficiently small values of

Therefore,