Limit question- Fairly easy? (1 Viewer)

[BLIT2014]

Thank you

 

[InteGrand]

View attachment 32365



Thank you

 

[InteGrand]

The limit exists and is 0.

 

[BLIT2014]

Thank you, I appreciate it.

 

[Oer]

While I wouldn't recommend using it in HSC working out, using L'Hopital's rule could be useful to check your answer in questions like this, just to make sure it's right. Look it up if you haven't heard of it.

 

[InteGrand]

While I wouldn't recommend using it in HSC working out, using L'Hopital's rule could be useful to check your answer in questions like this, just to make sure it's right. Look it up if you haven't heard of it.

Also, use the calculator to check if your answer looks right.

 

[Silly Sausage]

L'hoptial's rule:

 

[Silly Sausage]

L'hoptial's rule:

So
=

 

[dan964]

So
=

does L'Hospitale's rule is such that you stated, provided the original limit exists?

 

[InteGrand]

isn't that provided the original limit exists?

It's actually provided the latter limit exists, which it does.

 

[dan964]

thanks
couldn't remember which one, I had read about the rule before

 

[psyc1011]

L'hoptial's rule:

I encourage OP (and others) to use L'Hopital's rule as last resort because if you begin with L'Hop, all you are testing is your memory and understanding a formula.

 

[dan964]

agreed

 

[Silly Sausage]

There have been marker's comments on how people used this method in the HSC exams.

 

[Sien]

So if you use lhop. Rule do you still get the marks or nah

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[InteGrand]

So if you use lhop. Rule do you still get the marks or nah

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If you do use it, make sure you know (and state in your answer) the conditions that are required to hold for it to be applicable.

 

[Drongoski]

No need for L'Hopital's; not in HSC syllabus.



Edit

Didn't see InteGrand's similar approach, at the beginning.

 

[RealiseNothing]

There are a few other nit-picky things such as the limit has to be indeterminate and g'(x) =/= 0 over the domain (not including the point the limit is going to itself)