Saturday

August 30, 2014

August 30, 2014

Posted by **maggie** on Monday, February 7, 2011 at 1:05am.

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)= x2+10x+26 2 −x2−10x−24 if x−5 if x=−5 if x−5

Show that f(x) has a removable discontinuity at x=−5 and determine what value for f(−5) would make f(x) continuous at x=−5.

question:

Must redefine f(−5)=

- calculus-continuity -
**MathMate**, Monday, February 7, 2011 at 8:20amA function with a removable discontinuity could be redefined to remove the discontinuity if, at the point of removable discontinuity (x=-5) in this case, Lim f(x) x->-5

^{-}and x->-5^{+}are equal.

The discontinuity can be removed by redefining f(x) such that f(-5)=one of the above limits.

As I am unable to read unambiguously the definition of the function f(x), I am not able to show that f(-5) should be.

**Related Questions**

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

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

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

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

calculus please help! - Which of the following functions f has a removable ...

Calculus - #2 - Suppose g(x)={x^2+2x+1/x+1 if x<1 {2x if x≥1 The best ...

Calculus - #4 - Suppose g(x)={1/(x-2) if x<1 {2x-4 if x≥1 The best ...

Calculus - #3 - Suppose g(x)={1/(x-2) if x<1 {2x-3 if x≥1 The best ...

Calculus - Suppose g(x) = { 1 / (x - 2) if x < 1 2x - 4 if x >/= 1 The ...

Calculus - #1 - Suppose g(x)={1/x+1 if x<1 {2x-1 if x≥1 The best ...