Math help thx

Lim h -> 0

(x+h)^3 - x^3/h


Pls help :( or ill fail exams
Comments
45
might have helped if you would of asked this at an other time than 2:23 am CET
U replied so your awake. Why not help me!!
Parent
shit at maths + cant think now...
Parent
read silent his comment, hes correct

(x+0)^3 - x^3/0 =
x^3 - endless

so if x is a random number, ur answer is - endless
Parent
though its infinity , if x < 0
Parent
agree, but it says H differs to 0, not x

so x will be a real number imo
Parent
yes, but a real number can also be negative :)
Parent
-minus infinity, IF ( x>0)
-infinity IF ( x< 0 )

might be wrong, no time to think about it :D
The answer is correct but the problem is i dont know how to get the steps to the answer right. Do you know?
Parent
well my thoughts were: (x+h) ^3 becomes ALMOST x^3 , cause its ALMOST x+ 0 ^3

then u have a look at x^3/h : h becomes smaller and smaller , until it ALMOST reaches 0 , so the term x^3/ h becomes bigger and bigger.

( lets say x^3 is a normal number e.g. 12 . 12/12 = 1 ( h = 12 in this case )

12/6 = 2
12/3 = 4
12/ 1,5 = 8 and so on -> so if h becomes smaller and smaller , x^3/h becomes bigger and bigger !

all in all u have a look at the results which are : x^3 MINUS infinity = - infinity.

thats for x > 0

but if x is < 0 the second term ( x^3/h becomes smaller and smaller, because 3 is an uneven number ( for example -2^3 = -8 )

so the result for x<0 is x^3 MINUS MINUS ( = PLUS ) infinity = infinity
Parent
how come u say endless instead of infinity? :p
Parent
tbh i didnt know the right word , just a quick look in the dictionary :D but thx, will edit it
Parent
will look so much smarter if u throw in infinity :)
Parent
only if h is positive :)
Parent
Tried Wolfram Alpha?
wanted to do it in matlab... though to tired :( + forgot how to do it in there :D
Nvm guys i know why now. Thx for the help
Not knowing a single limit question will make you fail exams???

I have 5 hours to learn and practice 12 weeks worth of calculus. Any suggestions?
yep, come mirc #Da.Unbeatables pmme lets play
Parent
Go back in time and punch yourself in the face.
Parent
Oh shit, I genuinely wrote that on my whiteboard under a list titled "Sort life out plan" a few hours before reading this comment. Woah.
Parent
Get naked, crawl into the shower, maneuver into fetal position and cry.

Cry.
Parent
Ha, I'm always in the same position!
Usually if I get to it 1 week before the exam or deadline, I can manage.

But 5 hours is a lost cause :)
Parent
-&#8734;
shouldnt u be given smth like .. 2x^2 + 4x + 8 (example)

then u sub. in (x+h) for the x's + put it all over 'h'

then u simply expand the brackets and simply?
a²+b²=c²

u dont need to know more
If x is a real number and not infinite, then the answer is "-infinite".
The solution:
lim (x+a)^3 - x^3/a = x^3 - x^3/0 = x^3 - infinite = -infinite

If x is infinite, then you got an exception case: infinite - infinite. The solution to this case is the world wide web. :)

Haven't done limits for like 3 years now, still nice. :D
makkie examen toch :p

ik had de gele versie
had 9/20, fail :(
Parent
Hah :D ik 12 :p en ziedet zitn vo de volgende reeks examens?
Parent
haha tvalt nog mee :p behalve boekhoudn :x


keb eco al bijna af en tis al :p

gij?
Parent
boekhouden sla ik over..

vo de rest van alle vakken wel al iets gdaan ma ng nie egt ver geraakt :/
Parent
omg so easy.. back then when maths was easy.. :((
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