# Thread: Evalutating a limit

1. ## Evalutating a limit

Evalute:

limit (x --> 0) ((1+x)^5 - (1+5x)) / (x^2 + x^5)

Not sure how to do this...Any advice? Thanks

2. Originally Posted by jzellt
Evalute:

limit (x --> 0) ((1+x)^5 - (1+5x)) / (x^2 + x^5)

Not sure how to do this...Any advice? Thanks
Start by expanding and simplifying the numerator. Then divide numerator and denominator by the largest common factor.

3. Yeah that is how I thought to start also, but didn't get anywhere.

After expanding and simplifying I got:

x^4 + 4x^3 + 6x^2 -x

Now what?

4. Originally Posted by jzellt
Yeah that is how I thought to start also, but didn't get anywhere.

After expanding and simplifying I got:

x^4 + 4x^3 + 6x^2 -x

Now what?
Now you go back and fix your mistakes. Because x^4 + 4x^3 + 6x^2 -x is not the correct expansion and simplification of the numerator.

5. Ok... Sorry

I got x^5 + 5x^4 + 10x^3 + 10x^2

but Im still not sure how to continue

6. Originally Posted by jzellt
Ok... Sorry

I got x^5 + 5x^4 + 10x^3 + 10x^2

but Im still not sure how to continue
*Ahem*
Originally Posted by mr fantastic
Start by expanding and simplifying the numerator. Then divide numerator and denominator by the largest common factor.