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#1 2012-11-21 03:23:32
- 295Ja
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Limit
Hi! Please, help me with this one:
Evaluate the limit of (3-x)/(3-(sqrt of (6x-x²)) as x approaches 3 from the left.
What I did was this: I substitute 3 and found out that what I have is an indeterminate form of type 0/0. I then tried rationalizing the denominator but after it, I still arrived at the the same indeterminate form.
If what I did was right, please let me know the next step to solve the problem. If not, I'd like to ask for the right solution. I'll be waiting for replies then. Thanks in advance!
#5 2012-11-21 04:12:44
- 295Ja
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Re: Limit
Hi!
I tried to read about the L'Hopital's rule but I found out that for me to use that rule, I need to learn to evaluate derivatives.I must agree that the with the use of the rule, the solution would be simpler but may I ask for a solution without using that rule? It is because we are not yet on derivatives and I think the purpose of the problem, being included in the practice exercises of the topic that introduces limits, is for us to be able to master the basic theorems about limits that we had just learned.
#6 2012-11-21 05:16:08
- anonimnystefy
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Re: Limit
Hi 295Ja
No l'Hopital's rule needed.
Last edited by anonimnystefy (2012-11-21 05:16:48)
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#8 2012-11-21 18:27:18
- anonimnystefy
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Re: Limit
You're welcome!
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón