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Question

consider the function
f(x)=a+bx,x<14,      x=1bax,   x>1
If limx1 f(x)=f(1), then  the values of a and b are


  1. a = 0, b = 4

  2. a = 3, b = 1

  3. a = 1, b = 3

  4. a = 4, b = 0


Solution

The correct option is A

a = 0, b = 4


Given limx1 f(x)=f(1)limx1 f(x)=f(1)  &  limx1+ f(x)=f(1)a+b=4 and ba=4a=0,  b=4

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