# Functions, Limits, Continuity

### Problems for "Continuity"

Problem : Is f (x) = x 3 + 2x + 1 continuous at x = 2 ?

Problem : Is f (x) = continuous at x = 4 ?

Problem : Is the following function continuous?

 f (x) =

Problem : Is the following function continuous?

 f (x) =

Problem : Is there a way to define f (c) for the following function so that f (x) is continuous at x = c ?

 f (x) = at c = 4

Problem : Is there a way to define f (c) for the following function so that f (x) is continuous at x = c ?

 f (x) = at x = 1

Problem : How can we be sure that the function f (x) = 3x 3 -2x 2 - 31 has a root on the interval [0, 3] ?

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## The Book

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