Limits LHL and RHL Related doubt

So My Sir directly found the LHL and RHL of the limit while i used h tends to 0 method. Is there any method/trick to directly find LHL and RHl ?
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7 Replies
iTeachChem Helper
@Apu
iTeachChem Helper
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Dexter
Dexter5d ago
He just has more experience yk since Modulus function hai Its obvious that 0 ke about (where the mod is becoming zero) limit won't exist practice krne se aajayega waise this is just speedy calculation
BlindSniper (BS)
I don't understand what op is asking this is a way easier method right so just do that? if you meant L-hospital then yeah that works too you don't need to go this way
SirLancelotDuLac
As for specific to this and similar problems, I do find the use of signum function (but do use with care, while considering non-differentiable points, usually when the argument becomes zero) time-saving. It helps you to see discontinuities and find derivatives (Since sgn(x) can be treated as a constant while differentiating stuff)
Abhi
AbhiOP5d ago
That's not signum function though normal bracket
SirLancelotDuLac
I was talking about the |f(x)|/f(x) type problems where you just replace it by sgn(f(x)) or even in some |g(x)| type problems you write it as sgn(g(x))*g(x). Just a suggestion, not a very construct method or anything.

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