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Tushar Watts Grade: 12
        

If f(x) is  a polynomial satisfying 2+f(x) f(y) = f(x) + f(y) + f(xy) for all real x and y and f(2) = 5. Then lim x→2 f(x) is


(a)5    (b)25  (c)4 (d)nonne of these

7 years ago

Answers : (2)

Ramesh V
70 Points
										

for y=2,we have : 2+5f(x) = f(x)+5+f(2x)


4f(x)=3+f(2x)


putting x=0 gives f(0)=1


          x=1 gives f(0)=2


          x=2 gives f(4)=17


which clearly indicates f(x)=x2 + 1


limit x->2  f(x) is 5


option A


--


regards


Ramesh

7 years ago
Askiitian.Expert Rajat
24 Points
										

Hi,


 


 


Since f(x) is a polynomial, Hence it is continuous, therefore lim x→2 f(x) = f(2) = 5

7 years ago
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