In a hurry Calculus Find the limit Online, etc Find the limit lim(x→∞)[ln(1+x)-lnx]/x

In a hurry Calculus Find the limit Online, etc Find the limit lim(x→∞)[ln(1+x)-lnx]/x

ln(1+x)-lnx=ln[(1+x)/x]=ln(1+1/x),
When x →∞, 1 / X → 0, then ln (1 + 1 / x) → ln1 → 0,
When x →∞, 1 / X → 0, then LIM (x →∞) [ln (1 + x) - LNX] / x = 0 * 0 = 0

How to use Maple to solve the following equation
X-Y = ln (x / y), where x is known, how to solve y? How to program in Maple?
Thank you for your answer, but still can't, show the following question "warning, solving for expressions other than names or functions is not recommended."?
I use Maple11, you said a solution, but I didn't get it in 11. In addition, I want to find another solution, for example: x = 4.2, y is about 0.07, how to find this solution?

Solve (X-Y = ln (x / y), y) what version of maple are you? I have no problem running it. The result is y = X. I can use both maple12 and maple13. That's OK. Solve (4.2-y = ln (4.2 / y)), the result is 0.6737072160e-1, 4.200000000

How to use Maple to solve equations

Solve function, check help, there are examples