# Calculus

posted by
**Anonymous**
.

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)=2x^2+3x–14/x–2

Show that f(x) has a removable discontinuity at x=2 and determine what value for f(2) would make f(x) continuous at x=2.

f(2) = ?