Which of the following functions f has a removable discontinuity at a? If the di

Question

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 an answer does not exist, enter DNE (a) fx)- x4 1 a 1 The discontinuity is removable. O The discontinuity is not removable x3 x 30x fx The discontinuity is removable. O The discontinuity is not removable g(x) 6 (c) fx Sin x, a Recall that h (x) means the largest integer that is less than or equal to h(x).) O The discontinuity is removable The discontinuity is not removable. O

Explanation / Answer

a)(x^4 -1)/(x-1)=(x+1)*(x^2 +1)

removable

g(x)=g(1)=(1+1)*(1^2 +1) =2*2=4

b)(x^3 -x^2 -30x)/(x-6)= x*(x+5)

removable

g(x)=g(6)=6*(6+5) =6*11=66

c)not removable

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