CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Find

limx1 f(x) where f(x)= {x21,x1x21x>1


Solution

Here f(x) = {x21,x1x21,x>1

L.H.L.  = limx1f(x)=limx1(x21)

Put x=1 - h as x1,h0

limh0[(1+h)21]=limh0[1+h22h1]

= (0)22×0=0 

R.H.L. = limx1+f(x)=limx1+(x21) 

Put x=1 - h as x 1,h0

limh0[(1+h)21]=limh0[1h22h1]

=- (0)22×02=2

L.H.L. R.H.L.

This limit does not exist at x = 1.   

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More...



footer-image