Question

Easy Limit !

Answer 1

\[\lim_{x \rightarrow \infty}\frac{ \ln(x) }{\ln(1+x) }^{x*\ln(1+x)}\]

Answer 2

So is that exponent on the whole fraction or just ln(x)?

Answer 3

the whole fraction

Answer 4

@ganeshie8 @Abhisar @Callisto @Compassionate @uri @Kainui @eliassaab @inkyvoyd
@Joel_the_boss @Coolsector

Answer 5

It's not as easy as it's long and annoying haha

Answer 6

Is their a quick way to do this?

Answer 7

there*

Answer 8

I don't know that's why I posted this limit

Answer 9

Use \[\large \log_ay=x \implies a^x = y\] to start

Answer 10

mhm maybe \[\lim_{x \rightarrow \infty} \frac{ x \ln(1+x) \ln(\ln(x)) }{ \ln(ln(1+x)) } \implies \lim \lim_{x \rightarrow \infty} xln(1+x)\ln(\ln(x))-\ln(ln(1+x))\] to start

Answer 11

Too lazy to fix the error haha

Answer 12

Then you'll have to take some derivatives