Calculous graphs and limit problem

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i need help with problem 48. here is a pic of the problem. please list all work for each answer. 

http://imgur.com/Y25K2sX

thanks in advance

Jan 19th, 2015

48.

C(x) =  -1 for x < 2

C(x) = 1 for x>=2

a)  Lim C(x) as x->2+ = 1

b)  Lim C(x) as x->2- = -1

c)  Lim C(x) does not exist

d)  C(2) =1

e)  C is not continuous at x=2 since limit at x=2 does not exist

f)  C is continuous at x=1.95

At that time left limit =right limit – function value = -1


Jan 19th, 2015

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