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 ?

7 Replies
@Apu
Note for OP
+solved @user1 @user2...
to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.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
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
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)
That's not signum function though normal bracket
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.