# Is #1 / ( x )^2# strictly greater than # 1/(x)# for all x?

##### 2 Answers

Oct 22, 2015

No

#### Explanation:

Oct 22, 2015

See explanation.

#### Explanation:

**If #x<0#:**

When

**If #x=0#:**

Both expressions will be undefined. Therefore, you can't compare them.

**If #0"<"x<1#:**

When

**If #x=1#:**

Both expressions will be equal (they will both be 1).

**If #x>1#:**

When