If limx→af(x)=L , where L is a real number, which of the following must be true?

Question

A) f'(a) exists
B) f(x) is continuous at x=a.,
C) f(x) is defined at x=a.
D) f(a)=L
E)none of the above

Answer 1

If you mean
lim x→a , f(x)=L
then when x gets to a
f(a) = L

Answer 2

E: consider x sin(1/x)

Answer 3

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