- #1
Yankel
- 395
- 0
Hello
I have three limits to calculate, based on a given limits. What I know is:
\[\lim_{x\rightarrow 0}\frac{ln(1+x)}{x}=1\]
And based on this, I need to find (without L'Hopital rule), the following:
\[\lim_{x\rightarrow 0}\frac{ln(1-x)}{x}\]
\[\lim_{x\rightarrow 0}\frac{ln(1+x^{2})}{x}\]
\[\lim_{x\rightarrow 0}\frac{ln(1+2x)}{x}\]
I can't figure out the technique of moving from the known limits to the ones I need to find.
Thank you in advance !
I have three limits to calculate, based on a given limits. What I know is:
\[\lim_{x\rightarrow 0}\frac{ln(1+x)}{x}=1\]
And based on this, I need to find (without L'Hopital rule), the following:
\[\lim_{x\rightarrow 0}\frac{ln(1-x)}{x}\]
\[\lim_{x\rightarrow 0}\frac{ln(1+x^{2})}{x}\]
\[\lim_{x\rightarrow 0}\frac{ln(1+2x)}{x}\]
I can't figure out the technique of moving from the known limits to the ones I need to find.
Thank you in advance !