Mathematics
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OpenStudy (matlee):
Need help with limits!! Last
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OpenStudy (matlee):
OpenStudy (matlee):
the answer is h+6 but i dont know the steps for the alst part i know you multiply 3^2
OpenStudy (freckles):
does that say x approaches 0?
OpenStudy (matlee):
yes
OpenStudy (freckles):
I but that is a mistype because if that is so the answer is ((h+3)^2-3^2)/h
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OpenStudy (freckles):
I bet they meant to write h->0
OpenStudy (freckles):
let's assume this
OpenStudy (freckles):
first do you know how to multiply out (h+3)^2?
OpenStudy (matlee):
oh maybe it was me but yeah
OpenStudy (matlee):
(h+3) * (h+3)
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OpenStudy (freckles):
right and multiply that out
use "foil"
OpenStudy (matlee):
h^2 +6h+9
OpenStudy (matlee):
omg.
OpenStudy (freckles):
\[\frac{h^2+6h+9-9}{h}\]
OpenStudy (freckles):
now you should see 9-9 is 0
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OpenStudy (matlee):
yeah i think i just got it
OpenStudy (freckles):
lol cool
OpenStudy (freckles):
there is other ways to look at this problem to
OpenStudy (matlee):
Wait nvm cus there is 3 h's how do i get ride of the last h
OpenStudy (freckles):
there is a common factor h on top
and a h on bottom
h/h=1
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OpenStudy (freckles):
just like when we canceled out the x's on that one problem you had
OpenStudy (matlee):
Yes
OpenStudy (matlee):
then h+6h is left
OpenStudy (freckles):
\[\frac{h(h+6)}{h}=?\]
OpenStudy (freckles):
not exactly
we get to assume h is not 0 and say h/h is 1 here
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OpenStudy (freckles):
h^2+6h=h(h+6)
you see this right?
OpenStudy (matlee):
no
OpenStudy (matlee):
woah i wrote thatt wrong
OpenStudy (matlee):
i see h*h + 6*h= h^2 +6*h
OpenStudy (freckles):
\[h \color{red}h+6 \color{red}h\]
both terms have an h in common
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OpenStudy (matlee):
oh so you cross that out too?
OpenStudy (freckles):
you factor out the h
OpenStudy (freckles):
that they have in common
OpenStudy (freckles):
\[(h+6) \color{red}h\]
OpenStudy (matlee):
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