LimitsHard

Question

If[f(x) + g(x)] = 2 and[f(x) - g(x)] = 1, thenf(x)g(x) -

Options

A.need not exist
B.exist and is
C.exist and is -
D.exist and is

Solution

Letf(x) = L & g(x) = M
∵ L + M = 2 & L - M = 1
⇒ L = & M =
So f(x) g(x) = L.M =

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