need help simplifying a problem

[andy1212]

So I have no idea where to start tackling this problem so any help is greatly appreciated,

here is the problem,

lim from h toward 0 {alignc {{{4} over {x+h+1}}-{4} over {x+1}} over {h}}

Thanks in advance!

 

[Deleted member 4993]

So I have no idea where to start tackling this problem so any help is greatly appreciated,

here is the problem,

lim from h toward 0 {alignc {{{4} over {x+h+1}}-{4} over {x+1}} over {h}}

Thanks in advance!

Does your problem look like

\(\displaystyle \displaystyle{\lim_{h \to 0}\frac{\frac{4}{x+h+1} - \frac{4}{x+1}}{h}}\)

Just treat those terms as fractions - subtract and divide.

 

[HallsofIvy]

What is the common denominator for \(\displaystyle \frac{4}{x+ h+ 1}\) and \(\displaystyle \frac{4}{x+ 1}\)?

 

[andy1212]

1 but I'm not sure how to get rid of the h, should I go +h - h and - h at the bottom?

 

[andy1212]

and if it equals zero after subracting the fractions is that correct? I tried inputting the problem into mathway and it didn't gove me zero. I don't think I'd be able to subtract the h come to think of it because It wouldn't work when dividing right?