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PARAGRAPH: Let g(x)= cases a x^2+b x+c ( ^n x ) 4+ ^n x , & x (0, 4 ) 1, & x= 4 x+ x+ ^n x 1+c ( ^n x ) , & x ( 4 , 2 ) cases where a, b, c are real constants, and f(x)= Lim _ n g(x) QUESTION: If f(x) is continuous at x= 4 then the value of f ( 6 )+f ( 3 ) is

Options

  1. A0
  2. B1
  3. C2
  4. D-1

Correct answer

C. 2

Step-by-step solution

f(x)=c=1 if f is continuous at x= 4 .

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