Construct a function so that lim x → 4 f(x) = 2 with the following restrictions: The function is rational, the limit must contain an indeterminate form, the function must contain a radical in the numerator, and it must contain a trinomial in the denominator. Determine such a function

Answer 1

you want the top and bottom to be zero, so how about
2√(3x-8)/((x-2)(x-3))

most rational functions contain only polynomials, so maybe you want to modify this one so that the radical is just a constant.

Answer 2

Boy - I messed that up. No indeterminate form. You need x-4 in both top and bottom
(√(3x-8)(x^2-16))/(8(x-2)(x-3))

Answer 3

AAAaarrrrgghhh! ... I mean
(√(3x-8)(x^2-16))/(8(x-4)(x-3))