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Grade: 12
        
If a limit tends to infinity, it exists or not? What is the value of lim x tends to zero (1/|x|)?
one year ago

Answers : (2)

Arun
23331 Points
							
Dear student
 
lim x tends to 0 1/|x| = imfinity,
 
but in technical terms , wesay that limit doesnot exist
one year ago
Aditya Gupta
1805 Points
							
this is an extremely good ques and even i had a doubt when i first came across this dilemma. 
basically, a limit is DEFINED to exist IFF it is finite and unique. hence, whenever a limit is infinity, it is said that the limit does not exist. to be more specific on lim x tends to zero (1/|x|), we say that the limit is infinity and hence does not exist (note how we say that “the limit is infinity” and not “the value of the limit is infinity”).
one year ago
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