Let f and g be two functions whose domains are the set of all real numbers. Furthermore, suppose that

g(x) = x f(x) + 1

g (a+b) = g(a) g(b) for all a and b

lim f(x) = 1

x-> 0

please help me on this

thank you

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- Feb 5th 2011, 03:46 AMrcscan anybody prove the g'(x) = g (x)? please
Let f and g be two functions whose domains are the set of all real numbers. Furthermore, suppose that

g(x) = x f(x) + 1

g (a+b) = g(a) g(b) for all a and b

lim f(x) = 1

x-> 0

please help me on this

thank you - Feb 5th 2011, 04:13 AMPlato
- Feb 6th 2011, 03:31 AMrcs
thanks plato...

i still cant get the your hint. am i bit confused. - Feb 6th 2011, 03:59 AMPlato