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General
Easy

Question

If the function not stretchy integral subscript 0 end subscript superscript x end superscript blankf(x) dt → 5 as |x| → I, then the value of ‘a’ so that the equation 2x + not stretchy integral subscript 0 end subscript superscript x end superscript blankf(t) dt = a has at least two roots of opposite signs in (-1, 1) is

  1. a Î (0, 1)    
  2. a Î (0, 3)    
  3. a Î (- ¥, 1)    
  4. a Î (3, ¥)    

The correct answer is: a Î (0, 3)

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