calculus

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

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

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2. 👎
3. 👁
1. If you mean
lim x→a , f(x)=L
then when x gets to a
f(a) = L

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2. 👎
👤
Damon
2. E: consider x sin(1/x)

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2. 👎
👤
oobleck
3. ! :) i love you.

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2. 👎

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