Also the function is not defined at x=0
Dorothy G.
asked • 02/07/21Why is the following function discontinuous at x=0 ?
Why is the following function discontinuous at x=0?
f(x)={e^x if x<0
={x^2 if x>=0
(a) f(0) does not exist.
(b) lim x->0 f(x) does not exist (or is infinite).
(c) Both (a) and (b).
(d) f(0) and lim x->0 f(x) exist, but they are not equal.
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2 Answers By Expert Tutors
Patrick B. answered • 02/07/21
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Math and computer tutor/teacher
the one-sided limits do not agree
Dorothy G.
Thank you, would that mean f(0) and lim x->0 f(x) exist, but they are not equal?
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02/07/21
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Dorothy G.
Thank you, so would that mean the answer is c?02/07/21