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For all x in (0,1) (a) e^x<1+x (b) (log)...

For all `x in (0,1)` (a) `e^x<1+x` (b) `(log)_e (1+x) < x` (c) `sin x > x` (d) `(log)_e x > x`

A

`e^(x)lt1+x`

B

`log_(e)(1+x)ltx`

C

`sinxgtx`

D

`log_(e)xgtx`

Text Solution

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
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  14. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

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  19. If f(x) is a cubic polynomil which has local maximum at x=-1 . If f(2)...

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  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  21. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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