Home » Ask & Discuss » Mathematics. » Differential Calculus « Back to Discussion

Differential Calculus

New kid on the Block

Joined:	28 Aug 2007
Post:	1

28 Aug 2007 18:24:05 IST

0 People liked this

463

what will be value of limit x->0 (x)^2{root of x}?

None

tytryer

Share this article on:

Comments (6)

Anshuman Johri

Blazing goIITian

Joined: 27 Jan 2007

Posts: 559

28 Aug 2007 18:46:36 IST

Like 0 people liked this

rhl=0

lhl does not exist

limit does not exist

venkat v.t

Scorching goIITian

Joined: 7 Aug 2007

Posts: 244

28 Aug 2007 20:36:33 IST

Like 0 people liked this

x tends to zero means we have to take 0+.Because in the left
neighbourhood of 0 function is undefined.For functions only we
find limits.
Therefore the limit is 0.

A K

Blazing goIITian

Joined: 13 Mar 2007

Posts: 700

28 Aug 2007 20:38:48 IST

Like 0 people liked this

lhl is not equal to rhl as it does not exist
hence limit does not exist

Ambareesh Rishi

Blazing goIITian

Joined: 4 May 2007

Posts: 499

28 Aug 2007 20:44:23 IST

Like 0 people liked this

yep the limit doesent exist

venkat v.t

Scorching goIITian

Joined: 7 Aug 2007

Posts: 244

29 Aug 2007 13:22:21 IST

Like 0 people liked this

No need to find LHL .Because in the left nbd of 0 function not defined.How can u find limit for relations?
Limit of logx when x tends to 0 means u have to take0+.The answer
is -infinity.
Limit of square root of 2-x means u have to take 2-.The answer is 0.
U should not consider 2+.Bcause after 2 function is not defined.
There are so many examples are there.Hope u got it.

Arvind Bhusnurmath

Forum Expert

Joined: 30 Apr 2007

Posts: 30

19 Sep 2007 17:09:13 IST

Like 0 people liked this

The limit really means 0+ in this case so the LHL will not come into play as someone pointed out. Therefore the answer will be 0.

Venkat, I'm confused as to why you say the function is not defined after 2? Maybe I've read things wrongly

Quick Reply

Reply

	Some HTML allowed.
	Keep your comments above the belt or risk having them deleted.
	Signup for a avatar to have your pictures show up by your comment
	If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team