Prove that lim if \lim_{x\to a^+}\,f(x)=L and \lim_{x\to a^+}\,g(x)=K.
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Lesson Parent:
Problem:
Prove that
\lim_{x\to a^+}\,[f(x)+g(x)]=L+K
if
\lim_{x\to a^+}\,f(x)=L
and
\lim_{x\to a^+}\,g(x)=K.
Answer:
It is true that \lim_{x\to a^+}\,[f(x)+g(x)]=L+K if \lim_{x\to a^+}\,f(x)=L and \lim_{x\to a^+}\,g(x)=K.