## anonymous 4 years ago find lim $x^{4}-x^{2}+x+3/x^{3+1}$ when x right arrow 1

1. UnkleRhaukus

$\lim\limits_{x\rightarrow1}\quad \frac{x^{4}-x^{2}+x+3}{x^{3+1}}$ is this your Q:

2. anonymous

yea, thanks! I don't why I can't get that on the initial post

3. Mertsj

Simply substitute 1 for x and evaluate

4. anonymous

I get 2, does that seem correct?

5. Mertsj

6. Mertsj

|dw:1349002965737:dw|

7. anonymous

Shoot, the original post left off that the Denominator was x^3 + 1, but that should answer my question though. Thanks!

8. UnkleRhaukus

$\lim\limits_{x\rightarrow1}\quad \frac{x^{4}-x^{2}+x+3}{x^{3}+1}$$\qquad=\frac{1^{4}-1^{2}+1+3}{1^{3}+1}$$\qquad=\frac42$$\qquad=2\color{red}\checkmark$

9. anonymous

Thank you very much. Perfect. I wish I could figure out how to use the Math Jax to post like that...

10. UnkleRhaukus

$\text{\[\lim\limits_{x\rightarrow1}\quad \frac{x^{4}-x^{2}+x+3}{x^{3}+1}$}\]$\downarrow$$\lim\limits_{x\rightarrow1}\quad \frac{x^{4}-x^{2}+x+3}{x^{3}+1}$