lim x-> 4 (1/sqrt (x) -2)-(4/x-4)
Here is the LaTex version of the problem Thanks for your help leading me to LaTex. I am still unable to solve the problem. When I combine the fractions using a common denominator I get:
(x-4)(sqrt (x) -2)/(Sqrt (x)+2)(x-2)
Homework Statement
lim x->4 (1/((sqrt x)-2))-4/(x-4)
Homework Equations
The Attempt at a Solution I have made several stabs at this problem. First I tried using values very close to 4 (e.g. sqrt of 4.001) Then I tried rationalizing the expression 1/((sqrt x) -2). That did...
What is the domain of f(x)=x^(2/3)?
If I take a negative number and square it, the result is positive. For example, (-4)^2 is 16. The cube root is 16 is also a positive number. So I conclude that the domain of this function is "all real numbers". But in Wolfram the answer is "all...