Let a function be f (x) = x and we have to check its continuity at x = 0.
I have evaluted both sides limit but I have a doubt whether 1 is correct or 2 is correct in the below image.
Any help is appreciated. Thank you.
Which step is correct when we evaluate Limit
0
$\begingroup$
limits
continuity
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1I think 1 is correct because in second, you have removed minus sign, which means the limit is not longer remain one sided. – 2017-01-07
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0@HardeyPandya Will the things change is f (x) = |x| ? – 2017-01-07
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0I did't understand that in which context you are asking ? – 2017-01-07
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0@HardeyPandya For f (x) = x you said 1 is correct. I want to know if f (x) = |x| is another function then which one will be correct. Or 1 will be correct independent of the given function. – 2017-01-07