# Answer on Real Analysis Question for Matthew Lind

Question #18233

Using the epsilon-delta definition of the limit, prove that if lim x-->a f(x) and lim x-->a g(x) exist, then

lim x-->a [f(x) + g(x)] = lim x-->a f(x) + lim x-->a g(x).

lim x-->a [f(x) + g(x)] = lim x-->a f(x) + lim x-->a g(x).

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