Homework Help: Calculus

Posted by Anonymous on Wednesday, October 13, 2010 at 12:56pm.

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) = ?

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