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# Help with a limit please watch

1. Hi, I need help with a limit. I know the result is 1.

I thought that since grows faster than then goes to zero faster than so I wrote the limit without it:

which I know is 1.
I don't want to sound like an idiot but I'm not sure if this is correct.
2. Am not any expert, but I agree with your method
3. (Original post by Noemiluisa)
Hi, I need help with a limit. I know the result is 1.

I thought that since grows faster than then goes to zero faster than so I wrote the limit without it:

which I know is 1.
I don't want to sound like an idiot but I'm not sure if this is correct.
i am no purist but

you can only argue like you did if you want to show convergence or divergence, usually with series. Here you are trying to find the limit.

My approach (not sure if there is a better method) would have been to

call the limit L
take logs
use L'Hospital
show ln(L) =0
etc
4. (Original post by TeeEm)
i am no purist but

you can only argue like you did if you want to show convergence or divergence, usually with series. Here you are trying to find the limit.

My approach (not sure if there is a better method) would have been to

call the limit L
take logs
use L'Hospital
show ln(L) =0
etc
Sorry but I don't know L'Hospital rule yet because we usually find the limits working only with algebra
5. (Original post by Noemiluisa)
Sorry but I don't know L'Hospital rule yet because we usually find the limits working only with algebra
I cannot think of anything else but I will try.
In the mean time some proper pure person might come in to help you.

PS
you may be able to transform it into an exponential limit by some substitution.
6. The method I described works well within a few lines but I do not know whether is analytical enough for your course
7. (Original post by TeeEm)
The method I described works well within a few lines but I do not know whether is analytical enough for your course
Do you mean the one using the logs and L'Hospital (which I can't use) or the other one trying to transform it into exponential?
8. (Original post by Noemiluisa)
Do you mean the one using the logs and L'Hospital (which I can't use) or the other one trying to transform it into exponential?
logs and L'Hospital gives the correct limit very easily
9. (Original post by TeeEm)
logs and L'Hospital gives the correct limit very easily
But I can't use it since I haven't study L'Hospital at school yet, I will have to find another way.
10. (Original post by Noemiluisa)
But I can't use it since I haven't study L'Hospital at school yet, I will have to find another way.
11. (Original post by Noemiluisa)
Hi, I need help with a limit. I know the result is 1.

I thought that since grows faster than then goes to zero faster than so I wrote the limit without it:

which I know is 1.
I don't want to sound like an idiot but I'm not sure if this is correct.
I'd like to help but I'm struggling to understand what's written inside the brackets!

Can you use more brackets to make it unambiguous, or format it as a fraction so I can see exactly what you're trying to evaluate?
12. (Original post by davros)
I'd like to help but I'm struggling to understand what's written inside the brackets!

Can you use more brackets to make it unambiguous, or format it as a fraction so I can see exactly what you're trying to evaluate?
I have tried to upload a photo
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