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Mathematics 7 Online
OpenStudy (matlee):

Need help with limits!! Last

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

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)

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

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

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

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

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):

|dw:1455169564533:dw|

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