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# l'hopital's rule watch

1. Consider the function:

Explain in detail why you can NOT apply l'Hopital's rule. Can you still compute ?

I think I've figured the first bit out:
l'hopital's rule (as I've been given in lectures) states that f(c)=g(c)=0 at the limit point c. Now if that is the case, then g(x)=x=0, but f(0) can't be evaluated (as you'd have a sin(1/0) term).

As for the second part, surely [latex]\frac{f}{g} isn't defined at 0, so I'm guessing no.

Any clarification on this would be useful. Thanks.
2. I agree. Hospitals do rule.
3. The function f(0) is undefined, yes. However, exists. That might be what the question is asking you to compute (Hint: Bound the sine term)
4. (Original post by G550NDH)
I agree. Hospitals do rule.
Definitely a medic to be.
5. (Original post by IrrationalNumber)
The function f(0) is undefined, yes. However, exists. That might be what the question is asking you to compute (Hint: Bound the sine term)
Thanks. Yeah, I realised that , just found it weird that they ask me why I can't use l'hopital's rule and then ask me to calculate the exact value....tbh the whole paper is worded strangely..

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