Flag Differential Calculus> continuity...
question mark

f(x)=[x]+[-x] when xis not equal to 2 and A ,when X =2 if fx is continuous at x=2 thwn the value of A=?

KOUSHIK SINGHA , 13 Years ago
Grade
anser 2 Answers
Ashwin Muralidharan IIT Madras

Last Activity: 13 Years ago

Hi Koushik,

 

Ih you note

f(x) as x tends to 2 from the right ie 2+

f(2+) = 2-3 = -1

And f(x) as x tends to 2 from the left ie 2-

f(2-) = 1-2 = -1.

 

So f(2) = A = -1 for f(x) to be continuous at 2.

 

Hope it helps.

Wish you all the best.

 

Regards,

Ashwin (IIT Madras).

Swapnil Saxena

Last Activity: 13 Years ago

For continuity lim x->2+ f(x) = f(2) = lim x-> 2-

Evalutaing left hand limit: 

When x->2-: [x]+[-x] = [2-h]+[-(2-h)] =1+[-2+h]=1-2=-1

Evaluating right hand limit

When x->2+ : [2+h]+[-2-h]= 2+(-3)= -1 

therefore f(2) = -1 to mk the function continuous

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...