Multiple Choice Questions on Given function f x limx 0 sin 2x 3 x evaluate the given function ........ for NDA Exam Preparation

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Multiple Choice Questions

Given function f x limx 0 sin 2x 3 x evaluate the given function ........

Mathematics (NDA) limits
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    Given function f(x)= limx -0 sin[2x/3]/x ,evaluate the given function?

    -2/3

    Incorrect Answer

    2/3

    Correct Answer

    1/3

    Incorrect Answer

    -1/3

    Incorrect Answer
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    Explanation:

    limx →0 sin[2x/3]/x  

    limt is 0/0

    using L hospital rule

    limx →0 2/3 cos[2x/3]

    =2/3   cos [0]

    = 2/3

     

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