Home
Class 12
MATHS
lim(h -> 0) (sin(a+3h)-3sin(a+2h)+3sin(a...

`lim_(h -> 0) (sin(a+3h)-3sin(a+2h)+3sin(a+h)-sina)/h^3 =`

A

`sin a`

B

`-sin a`

C

`cos a`

D

`-cos a`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos

Similar Questions

Explore conceptually related problems

(sin(a+3h)-3sin(a+2h)+3sin(a+h)-sin a)/(h^(3))=

lim_(h rarr0)h sin(1/h)

lim_(h rarr0)(sin h)/(h)

lim_(h rarr0)(sin(x+h)-sin x)/(h)

lim_(h rarr0)(sin(x+h)-sinx)/(h)

Evaluate lim_(h to 0) ((a+h)^(2) sin (a+h) -a^(2) sin a)/h .

lim_(h rarr0)(sin^(2)(x+h)-sin^(2)x)/(h)

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. lim (x to oo) (1-4/(x-1))^(3x-1)=

    Text Solution

    |

  2. If alpha is not an integral multiple of pi , then : lim(x to alpha)...

    Text Solution

    |

  3. lim(h -> 0) (sin(a+3h)-3sin(a+2h)+3sin(a+h)-sina)/h^3 =

    Text Solution

    |

  4. lim (x to n ) (-1)^([x])=

    Text Solution

    |

  5. Evaluate: ("lim")(hvec0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(...

    Text Solution

    |

  6. If f(x) = 0 is a quadratic equation such that f(-pi) =f(pi) = 0 and f(...

    Text Solution

    |

  7. f(x)={((8^x-4^x-2^x+1)/x^2, ;xgt0),(e^xsinx+pix+lambda.ln4,;xle0):} ...

    Text Solution

    |

  8. If f(x) f(x) = (log{(1+x)^(1+x)}-x)/(x^(2)), x != 0 , is continuous a...

    Text Solution

    |

  9. If the function f as defined below is continuous at x=0find the values...

    Text Solution

    |

  10. Let : f(x) {:(=(1-cos 4x)/(x^(2))", ... "x lt 0 ),(= a", ...

    Text Solution

    |

  11. The function (x^(3)-8)/(x^(2)-x-20) is continuous over the domain :

    Text Solution

    |

  12. The value of a and b such that the function f(x) {:{(-2 sin x", ...

    Text Solution

    |

  13. The value of lim(x to e) (log x^(2)-2)/(sqrt(x)-sqrt(e)) is

    Text Solution

    |

  14. If f(x) {:(= 4x - 3 ", for " 0 lt x le 2 ),(= 4x+ 3k " , for " ...

    Text Solution

    |

  15. If f(x) {: (=(x^(2)-2x-3)/(x-3)" , for " 0 le x le 4 ),(= (x^(2)-1)/(x...

    Text Solution

    |

  16. If the function f(x) {: (3 sin x - sin 3x)/(x^(3)), x != 0 , is co...

    Text Solution

    |

  17. If f(x) (2^(x)-1)/(1-3^(x)) , x != 0 is continuous at x = 0 then : ...

    Text Solution

    |

  18. If f(0) = 2 , and f(x) = (1-cos kx)/(x.sin x) , x != 0 , is continuo...

    Text Solution

    |

  19. If f(x) {:(=(x^(n)-2^(n))/(x-2)", if " x!=2 ),(= 1024 ", ...

    Text Solution

    |

  20. If f(x) {:((3^(x+2)-81)/(9^(x)-9^(2)) ", ... "x != 2 ),(= k....

    Text Solution

    |