Can someone explain me how is this notation approximately equals to Ln(n)

Jan 2020
3
0
Morocco
Ln(n) [ 1+ Ln(1+1/n) /Ln(n) ] = Ln(n)
 

topsquark

Math Team
May 2013
2,533
1,052
The Astral plane
Ln(n) [ 1+ Ln(1+1/n) /Ln(n) ] = Ln(n)
What does Ln(n) mean?

This equation seems to be a bit scrambled with the Ln(n) canceling out from both sides. Is there a typo somewhere?

-Dan
 
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Jan 2020
3
0
Morocco
it's not an equation it's like the first term is approximately equals to Ln(n) . Just like sinx = x if you know what i mean ?
ln.jpg
 

skipjack

Forum Staff
Dec 2006
21,482
2,472
By expanding ln(1 + 1/n) in the LHS for large n, one gets ln(n)(1 + (1/n - . . . )/ln(n)), which has leading term ln(n).

(The next term would be 1/n.)
 
Jan 2020
3
0
Morocco
What does Ln(n) mean?

This equation seems to be a bit scrambled with the Ln(n) canceling out from both sides. Is there a typo somewhere?

-Dan
By expanding ln(1 + 1/n) in the LHS for large n, one gets ln(n)(1 + (1/n - . . . )/ln(n)), which has leading term ln(n).

(The next term would be 1/n.)
Thank youuu!