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for this problem you dont need the function to be defined at zero, it is simply a limit problem. Take the limit of both functions a the right and left side limits. Therefore if they both have the same limit as they approach zero you can say it is continuous.

ok so there are a lot of guys that seem able to post math equation that are formatted correctly for math, I was wondering how you guys do it. And it ifs from a program, then what is the program, and where can I get it.

im just thinking, if the equation is (2x-7)/n, and the problem is asking what the limit is as n goes to infinity, then the answer is simply 0. Because if you are dividing any number by a very large number, it gets very close to 0, and will continue to go to 0 the closer that n gets to infinity...

thanks for your help guys. Im thinking that what skeeter said is correct, because its the only one that provided a result that was given as a choice. And because this is for a calc 1 course, and the other stuff isnt part of what we learn, but thanks anyways.

let me rewrite this a bit, heres the actual problem as it was writen. If f'(x) = and f(0) = 1, then f(2) = ... I was wanting the equation of the integral so I could solve that problem.

OK well Im trying to figure out the intergral of the sin function below. So far I have no ideas of what the answer is, and neither does my calc teacher. Any help would be great.