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All trigonometric functions have inverse...

All trigonometric functions have inverse over their respective domains.

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. True or False : If underset(x rarr a)Lt f(x)g(x) exists then both un...

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  2. If f*g is continuous at x=a, then f and g are separately continuous at...

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  3. All trigonometric functions have inverse over their respective domains...

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  4. True or False : An increasing function is always a continuous functi...

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  5. True or False : The function f(x) = |x-1| is a continuous function.

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  6. True or False : Derivative of an even function is always an odd func...

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  7. Match the following:

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  8. limxrarr0 (e^x - 1)/x is equal to :

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

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  10. Which of the following is not true

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

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

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

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

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

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

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

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

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

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

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