# Thread: [SOLVED] Limits... always doubting my answers

1. ## [SOLVED] Limits... always doubting my answers

lim x -> 0
1/x - 1/(x^2 + x)

So I simplified this to 1 / x+1

then I sub 0 into x and end up with 1/1.

I have no confidence in myself when I do limits, I failed miserably on my mid term. How can I check if this is true?

2. Originally Posted by thekrown
lim x -> 0
1/x - 1/(x^2 + x)

So I simplified this to 1 / x+1

then I sub 0 into x and end up with 1/1.

I have no confidence in myself when I do limits, I failed miserably on my mid term. How can I check if this is true?
You've done a good job here (although I'd have liked to see your working to know for sure that you got 1/(x + 1) by using correct algebra and not by accident). Your answer is correct.

You can check it here: limit of 1/x - 1/(x^2 + x) as x approaches 0 - Wolfram|Alpha

3. Well okay I began by putting everything on a common denominator and then and simplified.

I got x+1-1 / x(x+1)

or x / (x(x+1) and this is how I ended up with the answer.

Thank you for your help.