A function f(x) is said to have a removable discontinuity at x=a if:

Question

A function f(x) is said to have a removable discontinuity at x=a if: 

1.  f is either not defined or not continuous at x=a

2. f(a)f(a) could either be defined or redefined so that the new function is continuous at x=a

Let f(x)={9/x + −8x + 36x(x−4)ifx≠0 and x≠41

if x=0

Show that f(x)has a removable discontinuity at x=0x=0 and determine what value for f(0) would make f(x) continuous at x=0

Must redefine f(0)=

Answer 1

Hi Abraham,

Would you mind formatting the question a little better, it is hard to tell what the problem is.