Order 4>3>e
By 4: 03.
Prove to be B.
Just prove blna
Just prove that lna/a
Constructor f(x)=(lnx)/x
But you are a freshman. I'm here to supplement it for you. The first layer means seeking guidance.
The geometric meaning of the derivative of a function is the slope of the tangent of the function at a certain point. We can imagine that if the function is tangent, its slope is always >; 0, that is to say. If the derivative of a function is always positive in a certain interval, then it increases monotonically in this interval.
The derivative of f (x) f' (x) = (1-lnx)/x 2 (this step is obviously out of the class and can be ignored).
When x>e is obviously f' (x)
That is, f(x) is simply reduced on [e, positive infinity].
Therefore, when a>b> E Shi
f(a)& lt； f(b)
lna/a & lt； lnb/b
Proof of inequality