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Question

stack L t with x not stretchy rightwards arrow negative 1.5 below cos to the power of negative 1 end exponent space open parentheses fraction numerator x plus 3 over denominator 3 end fraction close parentheses

  1. pi over 2   
  2. pi over 6   
  3. pi over 3
  4. pi over 4   

The correct answer is: pi over 3


    stack l i m with x not stretchy rightwards arrow negative 1.5 below cos to the power of negative 1 end exponent space open parentheses fraction numerator x plus 3 over denominator 3 end fraction close parentheses
equals cos to the power of negative 1 end exponent space open parentheses fraction numerator negative 1.5 plus 3 over denominator 3 end fraction close parentheses
equals cos to the power of negative 1 end exponent space open parentheses fraction numerator negative 1.5 plus 3 over denominator 3 end fraction close parentheses
equals cos to the power of negative 1 end exponent space open parentheses fraction numerator 1.5 over denominator 3 end fraction close parentheses
equals cos to the power of negative 1 end exponent space open parentheses fraction numerator 3 over denominator 2 cross times 3 end fraction close parentheses
equals cos to the power of negative 1 end exponent space open parentheses 1 half close parentheses
equals straight pi over 3

    A limit of a function is a number that a function reaches as the independent variable of the function reaches a given value.

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