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Chipset3600
Member
- Feb 14, 2012
- 79
Hello MHB, how can i solve this limit without L'Hospital rule?
Here is a litle bit of my solution:
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'...Hello MHB, how can i solve this limit without L'Hospital rule?
Here is a litle bit of my solution:
Oh yeah! I forgot the fundamental limit :s, so is =2ln(10)...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
$\chi$ $\sigma$
Evaluate it using L'Hospital rule and verify your result .Oh yeah! I forgot the fundamental limit :s, so is =2ln(10)...
Thanks