# How do you determine the limit of #( (1 / x ) - (1/x^2) )# as x approaches 0+?

By signing up, you agree to our Terms of Service and Privacy Policy

To determine the limit of ( (1 / x ) - (1/x^2) ) as x approaches 0+, we can simplify the expression and evaluate it.

First, we find a common denominator for the two terms: x^2.

((x^2 - 1) / x^2)

Next, we factor the numerator:

((x - 1)(x + 1) / x^2)

Since we are interested in the limit as x approaches 0+, we only consider values of x that are greater than 0.

As x approaches 0 from the positive side, both (x - 1) and (x + 1) approach -1.

Therefore, the limit of ((x - 1)(x + 1) / x^2) as x approaches 0+ is -1.

By signing up, you agree to our Terms of Service and Privacy Policy

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7