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.