If f(x1 + x2 + ... + xn) = f(x1)f(x2)...f(xn) for all x belongs to real; and f(0) = 2 and f(m) > 0 where m,n belong to natural and m is even and n is odd.

Evaluate lim ((f(x)-1)/x) where x tends to zero.

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Kaushik Ram · Answer

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If f(x1 + x2 + ... + xn) = f(x1)f(x2)...f(xn) for all x belongs to real; and f(0) = 2 and f(m) > 0 where m,n belong to natural and m is even and n is odd. Evaluate lim ((f(x)-1)/x) where x tends to zero.

If f(x1 + x2 + ... + xn) = f(x1)f(x2)...f(xn) for all x belongs to real; and f(0) = 2 and f(m) > 0 where m,n belong to natural and m is even and n is odd.

Evaluate lim ((f(x)-1)/x) where x tends to zero.

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If f(x1 + x2 + ... + xn) = f(x1)f(x2)...f(xn) for all x belongs to real; and f(0) = 2 and f(m) > 0 where m,n belong to natural and m is even and n is odd. Evaluate lim ((f(x)-1)/x) where x tends to zero.

If f(x1 + x2 + ... + xn) = f(x1)f(x2)...f(xn) for all x belongs to real; and f(0) = 2 and f(m) > 0 where m,n belong to natural and m is even and n is odd. Evaluate lim ((f(x)-1)/x) where x tends to zero.

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If f(x1 + x2 + ... + xn) = f(x1)f(x2)...f(xn) for all x belongs to real; and f(0) = 2 and f(m) > 0 where m,n belong to natural and m is even and n is odd.

Evaluate lim ((f(x)-1)/x) where x tends to zero.