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Suppose f and g are continuous functions such that

g(3) = 4
and
lim
x → 3
[3f(x) + f(x)g(x)] = 35.
Find
f(3).

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1 answer

  1. It seems we can assume that
    lim(x→3) f(x) = f(3)
    In that case, we have

    3f(3) + f(3)*4 = 35
    7f(3) = 35
    f(3) = 5

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