Prove that if lim then \lim_{x\to a}\,g(x) exists and is equal to M-L.
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Lesson Parent:
Problem:
Prove that if
\lim_{x\to a}\,\left[f(x)+g(x)\right]=M\mbox{ and }\lim_{x\to a}\,f(x)=L
then
\lim_{x\to a}\,g(x)
exists and is equal to M-L.
Answer:
\lim_{x\to a}\,g(x)=M-L