Home
Class 12
MATHS
In order that the function f(x)=(x+1)^(c...

In order that the function `f(x)=(x+1)^(cotx)` is continuous at x = 0, the value of f(0) must be defined as

A

e

B

`C^(2)`

C

`e^(3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-1 : Concept Builder(Topicwise)|65 Videos
  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

In order that the function f(x) = (x+1)^(cot x) is continuous at x=0 , the value of f(0) must be defined as :

In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f(0) must be defined as

In order that the function f(x) = (x+1)^(1/x) is continuous at x = 0, f(0) must be defined as

If f(x)=(x+1)^(cotx) is continuous at x=0, then what is f(0) equal to?

If f(x)=(x+1)^(cotx) is continuous at x = 0, then what is f (0) equal to?

If f(x) is continuous at x=0, then f(0) is defined as where

For the function f(x)=(log_(e)(1+x)+log_(e)(1-x))/(x) to be continuous at x = 0, the value of f(0) is

DISHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-Exercise-2 : Concept Applicator
  1. In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, t...

    Text Solution

    |

  2. The function f: R-{0} -> R given by f(x)=1/x-2/[e^2x-1] can be made co...

    Text Solution

    |

  3. Let f(x)=|[1,1,1] , [3-x,5-3x^2,3x^3-1] , [2x^2-1,3x^5-1,7x^8-1]| then...

    Text Solution

    |

  4. Find the value of a for which the following function is continuous ...

    Text Solution

    |

  5. The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x...

    Text Solution

    |

  6. If f(x) {: (=(8^(x) - 4^(x)-2^(x)+1)/(x^(2)) ", ...

    Text Solution

    |

  7. The function defined by f(x)={(((1)/(x^2+e^2-x))^(-1),xne2),(" "k"...

    Text Solution

    |

  8. In the Mean Value theorem (f(b)-f(a))/(b-a)=f'(c) if a=0 , b =1/2 a...

    Text Solution

    |

  9. Leg f(x+y)=f(x)+f(y)fora l lx , y in R , If f(x)i scon t inuou sa tx=...

    Text Solution

    |

  10. Which of the following is true about f(x)={(((x-2))/(|x-2|)((x^2-1...

    Text Solution

    |

  11. Let f be a continuous function on R such that f (1/(4n))=sin e^n/(e^...

    Text Solution

    |

  12. if y=logx*e^((tanx+x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  13. Find the values of aa n db if f(x)={a+sin^(-1)(x+b),xgeq1x ,x<1 is di...

    Text Solution

    |

  14. Which of the following functions is not differentiable at x=1?

    Text Solution

    |

  15. If f(x)=(x)/(1+x)+(x)/((x+1)(2x+1))+(x)/((2x+1)(3x+1))+…"to "infty,the...

    Text Solution

    |

  16. if f(x)=(x^2-4)|(x^3-6x^2+11x-6)|+x/(1+|x|)then set of points at which...

    Text Solution

    |

  17. Number of point where function f(x) defined as f:[0,2pi] rarrR,f(x)={{...

    Text Solution

    |

  18. If the function f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot] denotes the...

    Text Solution

    |

  19. If g is the inverse function of fa n df^(prime)(x)=sinx ,t h e ng^(pri...

    Text Solution

    |

  20. Which of the following function is not differentiable at x=0? f(x)=mi...

    Text Solution

    |