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  • Solve it, Which of the following function is not bounded in (0,5) ?

Which of the following function is not bounded in (0,5) ?

  • Option 1)

    \sin x

  • Option 2)

    \cos x

  • Option 3)

    1/x

  • Option 4)

    x^{2}

 

Answers (1)

best_answer

As we have learned

Properties of Continuous function -

If a function  f  is continuous on a closed interval [ a, b] then it is bounded on ( a, b) there exist real number k and K  such that 

k\leq f(x)\leq K\:for\:all\:\:x\epsilon [a,b]

-

 

 In [0,5]  \sin x, \cos x , x^{2}   all are continous , only 1/x is not continous 


Option 1)

\sin x

Option 2)

\cos x

Option 3)

1/x

Option 4)

x^{2}

Posted by

Himanshu

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