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) could either be defined or redefined so that the new function IS continuous at x=a. Let f(x) =\frac{2x^2+5 x -7}{x-1}
Show that f(x) has a removable discontinuity at x=1 and determine what value for f(1) would make f(x) continuous at x=1.
Must define f(1)=

Answer 1

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) could either be defined or redefined so that the new function IS continuous at x=a. Let f(x) =\frac{2x^2+5 x -7}{x-1}
Show that f(x) has a removable discontinuity at x=1 and determine what value for f(1) would make f(x) continuous at x=1.
Must define f(1)=

Answer 2

first part answer is 2.

Answer 3

next part. at x=1, the function should be equal to the functional value at RHL and LHL of 1.

Answer 4

whats rhl?