Answer:
DNE (does not exist)
Step-by-step explanation:
Our function is: . We want to find the limit of this as x approaches 0. The first thing we would want to do is to substitute 0 in for x. But when we do that, we get 0/0, which is undefined:
Let's divide the numerator and denominator both by x:
Now substitute 0 in again:
Because we have a number divided by 0, this cannot exist. If we graph this function (see attachment), we'll also see that the graph diverges at x = 0, so the limit does not exist.
-x = 4 - 2
-x = 2
x = -2
Explanation:
To find variable x we need to move positive 2 to right hand side which will become negative 2 and when 4 is substrated from 2 we get positive 2 and to make variable x positive we need to take negative sign to right hand side.
Take the logarithm of both sides and expand the right hand side:
Now take the derivative of both sides with respect to :
I'd stop there, but you could condense the right side a bit to get