Thread: 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

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.

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?

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.

Ok... Sorry

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

but Im still not sure how to continue

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.