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If g(x) = lim m → ∞ xmf(x) + h(x) + 3/2xm + 4x + 1 when x ≠ 1 and g(1) = e^3 such that f(x), g(x) and h(x)

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If g(x) = lim m → ∞ xmf(x) + h(x) + 3/2xm + 4x + 1 when x ≠ 1 and g(1) = e3 such that f(x), g(x) and h(x) are continuous functions at x = 1, then

(A)  f(1) = 2e3

(B)  h(1) = 5e3 - 3

(C)  f(1) + h(1) = 7e3 + 5

(D)  f(1) - h (1) = 7e3 + 5

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Correct option  (A)(B)

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