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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Jyotirmayee posted an Question
April 03, 2020 • 22:09 pm
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5 points
5 points
- IIT JAM
- Mathematics (MA)
Show thak im -a2a2 y uwy h proper. detraton 'mt o bunsn
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Priyadarshan Choursiya Best Answer
see attachment
In this case delta is negative then how can we say that delta exists?
by definition of limit, we need to find a delta which is greater than 0, if we are not find such delta then whatever we assume that limit exist was false and hence limit doesn't exist. . . . . . . . . . . . when we have given f as function and L is limit(may or may not be fun. limit) , then we assume | f(X)-L | <€ for some €>0, then we need to find delta >0 such that | x-L |< delta. then L is limit of f, if no such delta is found then L is not limit of f
delta always > 0, if you find delta < 0, then either you do incorrect calculation, or limit doesn't exist