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Find the set of values of x for which th...

Find the set of values of x for which the inequality `In(1+x)>x/(1+x)` is valid.

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BANSAL-APPLICATION OF DERIVATIVE-All Questions
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  2. Prove that 2sinx+tanx\ geq3x\ \ (0lt=x<pi/2)

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  3. Find the set of values of x for which the inequality In(1+x)>x/(1+x) ...

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  4. Show that ln\ (1+x)> x-(x^2)/2\ AA\ x\ in (0,oo)

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  6. Prove that x/(1+x)>ln(1+x)< x AA x>0

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  7. f( x )=cos3x−15cosx+8  in  [ π/ 3 , 3π/ 2 ] is increasing or ...

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  11. Verify Rolles Theorem for f(x)=(sin x)/(e^x)\ in\ [0,pi]\ \ \ \ ...

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  12. Find c of L M V T f(x)=\ sqrt(x-1)\ \ " in "\ [1,3]

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  13. Using Lagranges mean value theorem, prove that |cosa-cosb|<=|a-b|dot

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