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Which of the following is not true...

Which of the following is not true

A

`1lt(e^x-1)/xlt 1/(1-x) for 0 lt x lt 1`

B

`log(1+x) le x for x ge0`

C

`log(1+x) lt x for x gt 0`

D

`log (1+X) lt x for x ge0)`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. limxrarr0 (e^x - 1)/x is equal to :

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  2. If a>0,a ne1, then log(a)(x^n) =

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  3. Which of the following is not true

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  4. underset(xrarr0)lim (e^x -1)/(x) is equal to

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  5. limxrarr0 (log (1+x)/sin x is equal to :

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  6. underset(xrarre)(Lt)((logx-1)/(x-e)) is equal to

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  7. The function f(x) = {{:(("sin x")/(x)+ cos x ,if x != 0),(k , if x = 0...

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  8. If (x)=2x and g(x)=(x^(2))/(2)+1, then which of the following can be a...

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  9. Let f(x) = {:{(x+a, x le1),(ax^2 + 1, x > 1):}. Show that f is continu...

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  10. Let f(x) = {:{((3x+4tanx)/x, x ne0),(k, x = 0):} then f is continuous ...

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  11. Let f(x) = x((2^(x) -1)/(1-cosx)) for x ne0. What choice of f(0), if a...

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  12. If f(x)=x^(2)"sin"(1)/(x), where xne0 then the value of the function f...

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  13. The value of 'k' which makes the function defined by : f(x) = {:{(sin(...

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  14. The function given by f(x)=tax x is discontinuous on the set

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  15. The function f(x)=cotx is discontinuous on the set

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  16. The function f(x) = [x], where [x] denotes the greatest integer functi...

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  17. The number of points at which the function f(x)=(1)/(x-[x]) is not con...

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  18. The function f(x)=(4-x^(2))/(4x-x^(3)) is

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  19. Let f (x) = x |x|, then f (0) is equal to

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  20. If f(x) = log |x|, then for x ne 0 f'(x) is equal to

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