- Thread starter
- #1

#### 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:

- Thread starter Chipset3600
- Start date

- Thread starter
- #1

- 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:

- Feb 13, 2012

- 1,704

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:

Kind regards

$\chi$ $\sigma$

- Thread starter
- #3

- Feb 14, 2012

- 79

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

$\chi$ $\sigma$

Thanks

- Jan 17, 2013

- 1,667

Evaluate it using L'Hospital rule and verify your result .Oh yeah! I forgot the fundamental limit :s, so is =2ln(10)...

Thanks