what is the limit of x as it approaches 1 when x/ln x?

your sentence makes no sense to me

clearly he wants

lim x/lnx as x->1

since that value approaches 1/0, the limit is undefined.

To find the limit of a function as it approaches a certain value, we can use L'Hôpital's Rule or evaluate the function at that value. In this case, we can evaluate the function.

Given the function f(x) = x/ln(x), we want to find the limit as x approaches 1.

Let's evaluate the function at x = 1:

f(1) = 1/ln(1)

Now, ln(1) is equal to 0, as the natural logarithm of 1 is 0.

So, f(1) = 1/0

This expression is undefined, as dividing by zero is not possible.

Therefore, the limit of x/ln(x) as x approaches 1 does not exist.