Hello, I've been solving limits because I have a test in a few days, but a few of them i really cant find... (I study for engineer in Belgium). I expect them to be at least this hard, because they want about 2/3 to fail the 1st year!

Limit x to infiny : ((e^2x) -5x)^(1/x)

Limit x to infinty: x(ln(x+1)-ln(x))

Also, I know limit x to 0: sinx/x is 1, but limit x to zero abs(sinx)/x ?

Thank you in advance.