• May 13th 2010, 01:36 PM
iluvmathbutitshard
Determine whether f is continuous at x = c in the function given below. Use the 3 conditions of continuity to justify your answer.

f(x) = :
(x - 1, if x < 2),
(2, if x = 2),
(2x, if x > 2)

Any help is appreciated. :)
• May 13th 2010, 02:00 PM
pickslides
Quote:

Originally Posted by iluvmathbutitshard
Determine whether f is continuous at x = c in the function given below. Use the 3 conditions of continuity to justify your answer.

f(x) = :
(x - 1, if x < 2),
(2, if x = 2),
(2x, if x > 2)

Any help is appreciated. :)

Given the question I would say $c\in \mathbb{R} /\{2\}$

You really need to graph this function. Have you done this?
• May 13th 2010, 02:07 PM
iluvmathbutitshard
Yes, I actually just figured out how to do it, and I got the right answer.