Home
Class 12
MATHS
Let f(x) = (tan (pi//4-x))/(cot 2x)"for ...

Let `f(x) = (tan (pi//4-x))/(cot 2x)"for x" ne pi//4`, then for f to be continuous at `x = pi//4, f(pi//4)` must be equal to :

A

1

B

2

C

`1//2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|11 Videos
  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos
  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|10 Videos
  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|9 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = (tan ((pi)/(4) - x))/(cot 2 x), x ne pi//4 , the value which should be assigned to f at x = pi//4 , so that it is continuous everywhere is :

f(x) = {((sin 2x)^(tan^(2)2x), x ne pi/4),(k, x = pi/4):} . If f(x) is continuous at x = pi/4 , then k =

Let f(x) = (1-tanx)/(4x-pi),x ne (pi)/(4), x in [0, (pi)/(2)] , if f(x) is continuous in [0, (pi)/(4)] , then f((pi)/(4)) is :

If f(x) = {((1-sqrt2sinx)/(pi-4x), x ne pi/4),(a, x = pi/4):} is continuous at pi/4 , then a =

Let f(x) = {((tanx - cotx)/(x-pi/4), xne pi/4),(a, x = pi/4):} . The value of 'a' so that f(x) is continuous at x = pi/4 is

Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) = k . The value of k which makes f continuous at pi//2 is :

int_(pi//4)^(pi//2)cot x dx=

int_(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to

MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )
  1. Let f(x) = (1 - cos px)/(x sin x), where x ne 0 and f(0) = (1)/(2). If...

    Text Solution

    |

  2. Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) =...

    Text Solution

    |

  3. Let f(x) = (tan (pi//4-x))/(cot 2x)"for x" ne pi//4, then for f to be ...

    Text Solution

    |

  4. Let f(x) = [{:((x^(2))/(a),0 le x lt 1),(a,1 le x lt sqrt(2)),((2b^(2)...

    Text Solution

    |

  5. The value of f(0) so that the function : f(x) = (sqrt(1 + x) - (1+x)^(...

    Text Solution

    |

  6. Let f(x) = (sqrt(1 + sin x)-sqrt(1-sin x))/(x)lim The value, which sho...

    Text Solution

    |

  7. To make f(x)=(x+1)^(cotx) continuous at x=0,f(0) must defined as

    Text Solution

    |

  8. If f(x) = (1)/(2) x - 1, then on the interval [0, pi] :

    Text Solution

    |

  9. The value of x, where the function : f(x) = (tan x log (x-2))/(x^(2) -...

    Text Solution

    |

  10. Let f(x) = (tan ((pi)/(4) - x))/(cot 2 x), x ne pi//4, the value which...

    Text Solution

    |

  11. Let f(x) = x + 2, where x le 1 and f(x) = 4x - 1, when x gt 1, then :

    Text Solution

    |

  12. Let the function f be defined by f(x) = "x sin" (1)/(x), when x ne 0 =...

    Text Solution

    |

  13. f(x) = (|x-a|)/(x-a), when x ne a, = 1, when x = a, then :

    Text Solution

    |

  14. The value of f(0) for which the function : (log(e) (1-ax) - log(3) (1-...

    Text Solution

    |

  15. If f(x) = ((e^(x)-1)^(4))/(sin((x^(2))/(lambda^(2)))log(1+(x^(2))/(2))...

    Text Solution

    |

  16. If f(x) = [x] + [-x], x ne 2 = lambda, x = 2, then f is continuous at ...

    Text Solution

    |

  17. Let f(x) be defined by f(x) = {{:((|x^(2) - x|)/(x^(2) - x),x ne 0"," ...

    Text Solution

    |

  18. lim(x rarr oo) ((x^(2) + 5x + 3)/(x^(2) + x + 2))^(x) is :

    Text Solution

    |

  19. lim(x rarr 0) (log (3 + x) - log(3 - x))/(x) = k, the value of k is :

    Text Solution

    |

  20. lim(x rarr (pi)/(2)) ((1 - tan x//2)(1-sin x))/((1+tan x//2) (pi - 2x)...

    Text Solution

    |