Homework Help: Math

Posted by Paul on Saturday, February 16, 2013 at 9:52am.

Consider the function

f(x)= 2e^x, if x<0
f(x) = -3x+2, if 0< or equal to x < or equal to 2/3
f(x) = 1, if x > or equal to 2/3

a) evaluate the limit X->0- and X->0+
b) Does limit X ->0 exist? Is f continuous at x=0
c) Evaluate the limit X->2/3- and X -> 2/3+
D) Does limit X->2/3 exist? Is f continuous at x=2/3?

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