lim x to 6, (1/x-1/6)/(x-6)
how do I do this?? thank you
and if you can show me the steps, I will really appreciate that!
how do I do this?? thank you
and if you can show me the steps, I will really appreciate that!
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Use l'Hopital's Rule
(1/x-1/6)/(x-6) = (6-x)/[6x(x-6)]
f(x) = 6-x
g(x) = 6x(x-6) = 6x^2-36x
f'(x) = -1
g'(x) = 12x-36
f'(6)/g'(6) = -1/(72-36) = -1/36
Answer -1/36
(1/x-1/6)/(x-6) = (6-x)/[6x(x-6)]
f(x) = 6-x
g(x) = 6x(x-6) = 6x^2-36x
f'(x) = -1
g'(x) = 12x-36
f'(6)/g'(6) = -1/(72-36) = -1/36
Answer -1/36