I am taking a basic calculus class and my professor never explained this but I have this question on the homework:
Suppose $\lim \limits_{x \to b} f(x) = 7$ and $\lim \limits_{x\to b} g(x) = −3$
Find $\lim \limits_{x\to b}(f(x)+g(x))$
How do you solve a problem like this?
Best Answer
Use the following result:
If $\lim \limits_{x \to b} f(x) $ and $\lim \limits_{x \to b} g(x) $ exist, then
$$\lim_{x \to b} (f(x) + g(x)) = \lim_{x \to b}f(x) + \lim_{x \to b} g(x) $$
Sum of limit is the limit of the sum.
You might want to read up more on what operations can you perform with limits.