Question: Evaluate limx->0 [(1/3+x)-(1/3) / (x)]

Possible answers:

a) -1/9

b) 0

c) 1/9

d) does not exist

I believe the answer is a. Is this right?

Any help is appreciated.

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- September 17th 2010, 09:30 AMiluvmathbutitshardIs my answer correct?
Question: Evaluate limx->0 [(1/3+x)-(1/3) / (x)]

Possible answers:

a) -1/9

b) 0

c) 1/9

d) does not exist

I believe the answer is a. Is this right?

Any help is appreciated. - September 17th 2010, 09:39 AMDefunkt
That's correct.

- September 18th 2010, 06:50 AMHallsofIvy
Assuming that you mean lim(x->0) (1/(3+x))-(1/3))/x (notice the additional parentheses), then, yes, 1/9 is correct.

But I first interpreted his as lim(x->0) ((1/3)+ x)- (1/3))/x and that has a limit of 1. Which did you mean?