# Math Help - Limits problem

1. ## Limits problem

Ok tell me if I'm wrong for (k)
I got 1(0) = 0

2. ## Re: Limits problem

The answer is indeed 0, but for a different reason. This is the limit of composition g(f(x)), not of product g(x)f(x).

3. ## Re: Limits problem

And (l) is undefined right?

4. ## Re: Limits problem

Originally Posted by asilvester635
And (l) is undefined right?
Yes. Hopefully you can explain why.

5. ## Re: Limits problem

Yes because it's undefined when x approaches -1 for f(x)

6. ## Re: Limits problem

Originally Posted by asilvester635
Yes because it's undefined when x approaches -1 for f(x)
No, the behavior of f(x) near x = -1 is irrelevant to this question. What matters is the behavior of f(x) near x = 1. Moreover, it is not enough to say that $\lim_{x\to1}f(x)$ does not exist. If f(x) were 1 instead of 0, then $\lim_{x\to1}f(x)$ would still not exist, but $\lim_{x\to-1}f(g(x))$ would exist.