Asked by help pls
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
Answers
Answered by
oobleck
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.
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.
Answered by
oobleck
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))
(√(3x-8)(x^2-16))/(8(x-2)(x-3))
Answered by
oobleck
AAAaarrrrgghhh! ... I mean
(√(3x-8)(x^2-16))/(8(x-4)(x-3))
(√(3x-8)(x^2-16))/(8(x-4)(x-3))
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