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May 23, 2015

Homework Help: calculus please help!

Posted by Terry on Friday, September 3, 2010 at 1:53pm.

Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x a and is continuous at a. (If the discontinuity is not removable, enter NONE.)

1. f(x)= (x^4-1)/(x-1), a=1
?The discontinuity is removable.
?The discontinuity is not removable.
g(x) = ?




2. f(x)= (x^3-x^2-12x)/((x-4), a=4
?The discontinuity is removable.
?The discontinuity is not removable.
g(x) = ?

3) f(x) = [[ sin(x) ]], a =
(Recall that [[h(x)]] means the largest integer that is less than or equal to h(x).)
?The discontinuity is removable.
?The discontinuity is not removable.
g(x) =?

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