MHB Another two limits at infinity

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    Infinity Limits
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The discussion centers around evaluating two limits as n approaches infinity. The first limit involves the expression with exponential terms, where participants suggest dividing by the dominant term to simplify the evaluation. The second limit involves radical expressions, with advice given to convert them to rational exponent notation for easier manipulation. Participants emphasize the importance of clearly writing out each step in the evaluation process to avoid confusion and ensure understanding. Ultimately, the conversation highlights strategies for handling limits and the significance of proper notation in mathematical communication.
  • #51
wishmaster said:
As my exam is closer,i make stupid mistakes like that...
None misstake is stupid! Evryone make misstake and it make us think about it so it Will not happened again!
I Hope you understand WHY we divide by the highest power in bottom!
You may want to try check some algebra Rules and try get used with them! Like $$a^2a^1=a^{2+1}$$

Regards,
$$|\pi\rangle$$
 
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  • #52
Petrus said:
None misstake is stupid! Evryone make misstake and it make us think about it so it Will not happened again!
I Hope you understand WHY we divide by the highest power in bottom!
You may want to try check some algebra Rules and try get yard with them! Like $$a^2a^1=a^{2+1}$$

Regards,
$$|\pi\rangle$$

I know Petrus,thank you for reply...
I know algebra rules,but I am so ocupied with work and study,my head is full so sometimes i get lost...
 
  • #53
Petrus said:
I Hope you understand WHY we divide by the highest power in bottom! Regards,
$$|\pi\rangle$$

Im not sure about that...but i think because we want to simplify the fraction,and then see where each term is showing to...
 
  • #54
wishmaster said:
Im not sure about that...but i think because we want to simplify the fraction,and then see where each term is showing to...
Well the point is that you Will get on bottom is that one Will cancel out each other and rest Will be zero as you can see what happened to this! Remember that divide by highes power in bottom!
Don't try OVER react for exam! That is not smart as you Will just overstrained! Trust me you Will succed your exam! If you got any question or anything you wounder MHB Will help you! Never hessitate to ask any question!

Regards,
$$|\pi\rangle$$
 
  • #55
Petrus said:
Well the point is that you Will get on bottom is that one Will cancel out each other and rest Will be zero as you can see what happened to this! Remember that divide by highes power in bottom!
Don't try OVER react for exam! That is not smart as you Will just overstrained! Trust me you Will succed your exam! If you got any question or anything you wounder MHB Will help you! Never hessitate to ask any question!

Regards,
$$|\pi\rangle$$

Thank you,im really glad that I am a member of this forum,and thankfull for your help,and help from others!

So the main point of limits is to get as much zeroes you can?
 
  • #56
wishmaster said:
Thank you,im really glad that I am a member of this forum,and thankfull for your help,and help from others!

So the main point of limits is to get as much zeroes you can?
Yeah pretty much! (Remember we are talking about $$x \to \infty$$

Regards,
$$|\pi\rangle$$
 
  • #57
Petrus said:
Yeah pretty much! (Remember we are talking about $$x \to \infty$$

Regards,
$$|\pi\rangle$$
I have been on the search on the internet where i could find similar problems to mine...but without luck...have you any idea where or how should i "fight" with this limit?
 
  • #58
wishmaster said:
I have been on the search on the internet where i could find similar problems to mine...but without luck...have you any idea where or how should i "fight" with this limit?
read this first it explain well
Pauls Online Notes : Calculus I - Limits At Infinity, Part I

Regards,
$$|\pi\rangle$$
 

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