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Limit, without L'hospital rule

Chipset3600

Member
Feb 14, 2012
79

chisigma

Well-known member
Feb 13, 2012
1,704
Hello MHB, how can i solve this limit without L'Hospital rule?
Here is a litle bit of my solution:
Excellent!... of course l'Hopital's rule or Taylor expansion is more comfortable but the use of the 'fundamental limits' [in Your case $\displaystyle \lim_{n \rightarrow \infty} (1 + \frac{1}{n})^{n} = e$...] is allwais more 'rigorous'...

Kind regards


$\chi$ $\sigma$
 

Chipset3600

Member
Feb 14, 2012
79
Excellent!... of course l'Hopital's rule or Taylor expansion is more comfortable but the use of the 'fundamental limits' [in Your case $\displaystyle \lim_{n \rightarrow \infty} (1 + \frac{1}{n})^{n} = e$...] is allwais more 'rigorous'...

Kind regards


$\chi$ $\sigma$
Oh yeah! I forgot the fundamental limit :s, so is =2ln(10)...
Thanks
 

ZaidAlyafey

Well-known member
MHB Math Helper
Jan 17, 2013
1,667