Share
Explore BrainMass

Limits and Continuity

A) Find lim x---> 2+ C(x)
b) Find lim---> 2- C (x)
c) Find lim x---> 2 C (x)
d) Find C (2)
e) Is C continuous at x=2? At 1.95?

See attached file for full problem description.

Attachments

Solution Preview

Continuity

C(x) = -1 for x < 2; C(x) = 1 for x &#8805; 2

a) Find lim x---> 2+ C(x)

As x approaches 2 from the right, C(x) approaches 1 (in fact, it is equal to 1 for all of these values of x). Therefore, lim C(x) = 1.
x &#61664; 2+

b) Find lim---> 2- C (x)

As x approaches 2 from the left, C(x) is -1 Therefore, lim C(x) = ...

$2.19