DOUBT 4

The funtion f(x) = [x]2 - [x2] (where [] is GIF) is discontinuous at

a.All integers

b.All integers exvept 0

c.All integers except 1

d.All integers except 0 and 1

11 Answers

11
Mani Pal Singh ·

For this ques u have to remember that
[x]=0 when x→(0,1) ; [x]=1 when x→(1,2) ;[x]=-1 when x→(-1,0)
[x2]=0 when x→(0,1) ; [x2]=1 when x →(1,√2) ;[x2]=0 when x→(0,-1) ;[x2]=1 when x→(-1,-√2)

13
deepanshu001 agarwal ·

is it c option

1
sriraghav ·

yes...

wat abt the continuiy at 0??

11
Mani Pal Singh ·

check 0+ and 0-

1
sriraghav ·

Can u pls show that here mani...I find it difficult..

Todays's GON(graph of the night)

draw the graph for above funtion

11
Mani Pal Singh ·

sorry bro u r right
made a calc mistake now the graph is

1
sriraghav ·

@mani but ans given is it is continuous at 0!!

@msp adei...ans given was c..(why did u pink ur post if u r not sure it is correct??[3])

9
Celestine preetham ·

ans is c

for 1 its continuous ( f(1+) =f(1)= f(1-) =0 )

for 0 discontinuous ( f(0) =0 f(0+)=0 f(0-)= 1 )

9
Celestine preetham ·

mani is graph in #7

absolutely correct ??

pls chk for x = - 1.2

11
Mani Pal Singh ·

but i think we r concerned with -1,1
u r perfectly apt in ur statement !!!!!!!!!!!
but it doesen't affect the answer [1]

1
suraj5 ·

answer is c. celestine has got it right.

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