Question

limit fast

Answer 1

\[\lim_{x \rightarrow \infty}x-\ln(1+x)\]

Answer 2

whats so fast ?

Answer 3

as a rough idea, doesnt x take control for large values of x? ln seems to move slower to me

Answer 4

\[\lim_{x \rightarrow \infty}\infty-\ln (\infty)\]
\[\lim_{x \rightarrow \infty}\infty-\infty=0\]

Answer 5

this is my guess

Answer 6

do the series expansion of ln ....

Answer 7

probably wrong because I think the logarithm may approach infinity faster than x?

Answer 8

the rate of change of logs slow down, consider the graph of e^x on its side ....

Answer 9

@VeritasVosLiberabit if you don't know calculus stay away

Answer 10

x-ln(1+x) > 0

x > ln(1+x)