Home
Class 12
MATHS
What is lim(xto0) (cosx)/(pi-x) equal to...

What is `lim_(xto0) (cosx)/(pi-x)` equal to ?

A

0

B

`pi`

C

`(1)/(pi)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C

`underset(xto0)lim(cosx)/(pi-x)=(cos0)/(pi-0)=(1)/(pi)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    NDA PREVIOUS YEARS|Exercise MCQs|119 Videos
  • HEIGHT & DISTANCE

    NDA PREVIOUS YEARS|Exercise Math|45 Videos

Similar Questions

Explore conceptually related problems

What is lim_(xto0) (1-cosx)/(x) equal to ?

What is lim_(xto0) (2(1-cosx))/(x^(2) equal to?

What is lim_(xto0) (5^(x)-1)/(x) equal to ?

If lim_(xto0) phi(x)=a^(2) , where ane0 , then what is lim_(xto0) phi((x)/(a)) equal to?

What is lim_(xto0) (x)/(sqrt(1-cosx)) equal to ?

NDA PREVIOUS YEARS-FUNCTIONS, LIMIT, CONTINUITY AND DIFFERENTIABILITY-MCQs
  1. A function f:RtoR is defined as f(x)=x^(2)" for "xge0,f(x)=-x" for "xl...

    Text Solution

    |

  2. What is lim(xto0) (1-cosx)/(x) equal to ?

    Text Solution

    |

  3. What is lim(xto0) (cosx)/(pi-x) equal to ?

    Text Solution

    |

  4. What is lim(xto0) (sin2x+4x)/(2x+sin4x) equal to ?

    Text Solution

    |

  5. Let N denote the set of all non-negative integers and Z denote the set...

    Text Solution

    |

  6. What is lim(xto0) ((1+x)^(n)-1)/(x) equal to ?

    Text Solution

    |

  7. What is lim(xto0) (x)/(sqrt(1-cosx)) equal to ?

    Text Solution

    |

  8. What is underset(xrarr(pi)/(2))limf(x)=underset(xrarr(pi)/(2))lim(1-si...

    Text Solution

    |

  9. What is the value of lamda if the function is continuous at x=(pi)/(2)...

    Text Solution

    |

  10. If f(9)=9andf'(9)=4 then what is lim(xto9) (sqrtf(x)-3)/(sqrtx-4) equa...

    Text Solution

    |

  11. Consider the following statements : 1. The function f(x)=3sqrtx is...

    Text Solution

    |

  12. Consider the following statements: 1. The function f(x)=|x| is not d...

    Text Solution

    |

  13. Let f(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1le...

    Text Solution

    |

  14. Let f(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1le...

    Text Solution

    |

  15. Let f(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1le...

    Text Solution

    |

  16. The function f:NtoN,N being the set of of natural numbers, defined by ...

    Text Solution

    |

  17. If f(x)=ax+bandg(x)=cx+d such that f[g(x)]=g[f(x)] then which one of t...

    Text Solution

    |

  18. Consider the function f(x)=(x-1)/(x+1) What (f(x)+1)/(f(x)-1) equal ...

    Text Solution

    |

  19. Consider the function f(x)=(x-1)/(x+1) What is f(2x) equal to ?

    Text Solution

    |

  20. Consider the function f(x)=(x-1)/(x+1) What is f(f(x)) equal to ?

    Text Solution

    |