Self Studies

Continuity and ...

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  • Question 1
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  • Question 2
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    The function, f (x) = (x –a) sin   for x ≠ a and f (a) = 0 is

     

  • Question 3
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    If x sin (a + y) = sin y, then   is equal to

     

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  • Question 6
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    If [x] stands for the integral part of x, then

     

  • Question 7
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    Let f (x) = [x], then f (x) is

     

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  • Question 11
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  • Question 12
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    The function f (x) = [x] is

     

  • Question 13
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    Let f be a function satisfying f(x + y) = f(x) + f(y) for all x, y  ∈R, then f ‘(x) =

     

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  • Question 15
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    If x = at2 , y = 2at, then   is equal to  

     

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