CBSE  /  Class 11  /  Maths  /  Limits and Derivatives

  • 1. 
    The value of the limit Limx→0 (cos x)cot2 x is

  • 1
  • e
  • e1/2
  • e-1/2

  • 2. 
    The value of limit Limx→0 {sin (a + x) – sin (a – x)}/x is

  • 0
  • 1
  • 2 cos a
  • 2 sin a

  • 3. 
    Limx→-1 [1 + x + x² + ……….+ x10] is

  • 0
  • 1
  • -1
  • 2

  • 4. 
    The value of Limx→01 (1/x) × sin-1 {2x/(1 + x²) is

  • 0
  • 1
  • 2
  • -2

  • 5. 
    Limx→0 log(1 – x) is equals to

  • 0
  • 1
  • 1/2
  • None of these

  • 6. 
    Limx→0 {(ax – bx)/ x} is equal to

  • log a
  • log b
  • log (a/b)
  • log (a×b)

  • 7. 
    The value of limy→0 {(x + y) × sec (x + y) – x × sec x}/y is

  • x × tan x × sec x
  • x × tan x × sec x + x × sec x
  • tan x × sec x + sec x
  • x × tan x × sec x + sec x

  • 8. 
    Limy→∞ {(x + 6)/(x + 1)}(x+4) equals

  • e
  • e³
  • e5
  • e6

  • 9. 
    The expansion of log(1 – x) is

  • x – x²/2 + x³/3 – ……..
  • x + x²/2 + x³/3 + ……..
  • -x + x²/2 – x³/3 + ……..
  • -x – x²/2 – x³/3 – ……..

  • 10. 
    If f(x) = x × sin(1/x), x ≠ 0, then Limx→0 f(x) is

  • 1
  • 0
  • -1
  • does not exist
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