Question

Someone tell about signum and GIF ?

Answer 1

You must have atleast seen there graphs? Tell me what you do not understand in this ?

Answer 2

explain GIF with example..
maybe with the help of this example

Answer 3

The largest integer less than, or equal to , a given real number <- this is GIF

Answer 4

[7.6] = 7

Answer 5

[-1.2] = -2

Answer 6

[3] = 3

Answer 7

\[LARGE lim_{x rightarrow 2} {[2-x]+[x-2]-x}\]

Answer 8

math processing error |:

Answer 9

Didn't get your query ?

Answer 10

holdon

Answer 11

\[\LARGE \lim_{x \rightarrow 2} {[2-x]+[x-2]-x}\]

Answer 12

3
-3
N/T
0

Answer 13

Here,there are 2 ways,
1) you'll have to check right hand and left hand limits separately
2) make use of the fact that [x] + [-x] = -1

Answer 14

Using 2nd one quickly guides you towards the answer.
1st method also isnt lengthy enough, try it.

Answer 15

is it -3?

Answer 16

Oh wait, 2nd method fails here, its limit.

Answer 17

Nope, answer should be DNE

Answer 18

hmm

Answer 19

for x->2- , we have -3
for x->2+ , we have again -3
but when x=2 , we have -2.

Answer 20

the 2nd fact is only valid if x is not an integer, which is not the case here.

Answer 21

galat answer hai be :P

Answer 22

Oh, :O
kya answer hai ?

Answer 23

-3

Answer 24

2 pe to fail ho jata hai, mai nahi manta.

Answer 25

:/..

Answer 26

wo [ ] GIF hai

Answer 27

Ha bhai, GIF hai.

Answer 28

\[\LARGE \lim_{h \rightarrow 0} {[2-(2+h)]+[(2+h)-2]-(2+h)}\]

Answer 29

\[\LARGE {[-h]+[h]-2-h}\]

Answer 30

-1+0-2-h=-3

Answer 31

this is what book says idk now >.<

Answer 32

i got it btw

Answer 33

but why [-h] ke liye -1 ?
and [h] ke liye 0..ye bata bus

Answer 34

[-h] ke ;iye -1 aur [h] ke liye 0 nahi hai,1 baar h- liya to 0 aur -1 aya, 1 baar h+1 liya to -1 aur 0 aya

isme bhi h=0 pe -2 ayega, mai to ab bhi kahunga DNE

Answer 35

..:/

Answer 36

hmm, purane ques dekh raha hu main, exact value pe check nahi kiya hua hai. WO shayd sirf continuity me karte hain.

Answer 37

To sahi hai fir, -3 hoga, mere method se , ya fir book ke method se.
kyunki exact value pe nahi check kar rahe to fir 2nd method laga sake hai, -3 aa jayega.

Answer 38

Samjh aya? continuity me exact value pe bi check karenge, limit me nahi

Answer 39

abhi cont. nahi pada,padu kya? :/
abhi sunne me confusing lag rha hai

Answer 40

Continuity kuch nahi hai bas limits ka application hai.
Time aane pe padh liye, abhi rehn de.
Abhi ke liye samjh aya?

Answer 41

kinda

Answer 42

not this but
but why [-h] ke liye -1 ?
and [h] ke liye 0..ye bata bus

Answer 43

jab h->0- hai,
tab [h] kya hoga batao ?

Answer 44

wahi to nahi pata :|

Answer 45

kya kyu kaise

Answer 46

0 se chota hai,
samjh lo
-0.999999.. hai,
iska Greatest integer,
-1 hoga right ?

Answer 47

-0.9999 nahi, -0.00000.....1 hai

Answer 48

fir to 0 hoga greatest..?

Answer 49

when u come back explain with this diagram