Question

limits!!

Answer 1

lol the only thing I know about limits is from Mean Girls ☺ ♥

Answer 2

thats not helpful at all haha , T^T can anyone help me??

Answer 3

where u got stuck ?
graph part or wid the limits ?

Answer 4

hm, actually both im not sure, is the correct graph (a.)?

Answer 5

its either A or C
cuz, clearly the postal department is using a step function for calculating cost based on weight. so it cannot be a continuous line !

Answer 6

$0.34 for first ounce so, 0.34 must be included right? a shows that. do i make sense haha

Answer 7

il give a hint, to figure out which one it is :-
it costs u $0.34 for the fist ounce, INCLUDING 1 oz.
so if ur parcel weight is $0.34, u still have to pay oly $0.34

Answer 8

oh it shd be c haha

Answer 9

Yes !

Answer 10

i read at 0 ounce just now haha, so how do i find the limit from the graph? is there any general function for the graph?

Answer 11

no general function,
simply stare at the graph, when w = 3.3

Answer 12

oh you're asking for a general funciton...
yes we can make one easily.

Answer 13

okay so the answer is 4.? hm yeah im not really familiar with this kind of function

Answer 14

p(w) = 0.34 + something

Answer 15

oops must be 0.8 haha read wongly again

Answer 16

0.34+0.8?

Answer 17

p(3.3) = 0.34 + 3*0.15
= ?

Answer 18

why isit 3 times? shouldnt it be 4?

Answer 19

3.3 = 1 + 1 + 1 + .3

Answer 20

upto first oz, u pay 0.34
for second oz, u pay 0.15
for third oz, u pay 0.15
for last left over, u pay 0.15

Answer 21

oh, i read from the graph just now, nvm, tht makes sense, so u dont take into account the 0.3 then., the next part is the answer c?

Answer 22

u may look at the graph, at w = 3.3,
we can see that first big leap is 0.34, after that we have 3 small leaps

Answer 23

okie good :)

Answer 24

c is correct for next part !

Answer 25

oh i see now okay(: btw there another qn , does lim-->2 f(w) exist? explain

Answer 26

it exists right?

Answer 27

for limit to exist,
left hand limit must equal right hand limit

limit 2+ = limit 2-

Answer 28

\(\large \lim \limits_{w->2-} p(w) = ?\)

\(\large \lim \limits_{w->2+} p(w) = ?\)

Answer 29

if u get same value for both, then limit exists..
other wise limit DNE

Answer 30

oh its doesnt match , x->-2 exist while x->2 doesnt?

Answer 31

yup ! since left hand limit \(\ne\) right hand limit,
we say limit DNE

Answer 32

what is DNE?

Answer 33

* do not equal i guess haha

Answer 34

Thank you! :D

Answer 35

does not exist :P

Answer 36

oops haha! it makes sense!

Answer 37

^ that one.. you're wlc :)