Home
Class 12
MATHS
If f(x) is continuous and f(9/2)=2/9 , t...

If f(x) is continuous and `f(9/2)=2/9` , then : `lim_(x to 0) f((1-cos 3x)/(x^2))`=

A

`2/9`

B

`9/2`

C

18

D

81

Text Solution

Verified by Experts

The correct Answer is:
a
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

if f(x) is continuous and f((9)/(2))=(2)/(9) then the value if lim_(x rarr0)f((1-cos3x)/(x^(2))) is

If f(x) is continuous at x=0 and f(0)=2, then lim_(x to 0) int_(0)^(x)f(u)du)to is

f((9)/(2))=(2)/(9), thenthevalueof lim_(x rarr0)f((1-cos3x)/(x^(2)))

Let f'(x) be continuous at x=0 and f'(0)=4 then value of lim_(x rarr0)(2f(x)-3f(2x)+f(4x))/(x^(2))

If f(x) is continuous at x=0 , where f(x)=((e^(3x)-1)sin x^(@))/(x^(2)) , for x!=0 , then f(0)=

If f(x) is continuous at x=0 , where f(x)=(sin (pi cos^(2)x))/(x^(2)) , for x!=0 , then f(0)=

If f(x) is continuous at x=0 , where f(x)=(1-cos 3x)/( x tan x) for x != 0 , then f(0)=

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. If the function f(x) {:( = 4(5^(x))",....... " x lt0),(= 8a+x", ........

    Text Solution

    |

  2. If f(x) {:( =(x-|x|)/x", ... " x!=0 ),(=2", ... " x...

    Text Solution

    |

  3. If f(x) is continuous and f(9/2)=2/9 , then : lim(x to 0) f((1-cos 3x...

    Text Solution

    |

  4. If f(x) = 1/(1-x), then the points of dicontinuity of the composite...

    Text Solution

    |

  5. Value of f(pi/4) so that the function f(x) = (tan(pi/4-x))/(cot 2x), ...

    Text Solution

    |

  6. If the function f(x) {:(=5x-4", ... "0 lt x le 1 ), (=4x^(2)+...

    Text Solution

    |

  7. If f(x) is continuous at x=3, where f(x)={:{((x^(2)-9)/(x-3),", for"x...

    Text Solution

    |

  8. If f(x) {:( =(sin pix)/(5x)", if " x!=0),(=k ", if " x = ...

    Text Solution

    |

  9. If f(x) = |x-2|, then :

    Text Solution

    |

  10. Givenf(x)=ax^(2)+b," "" if "xlt-1 =bx^(2)+ax+4," "" if "xge-1 If...

    Text Solution

    |

  11. If f(x) {:(=(x^(2)-4x+3)/(x^(2)-1)", ..."x!=1 ),( =2", ...

    Text Solution

    |

  12. If : f(x) {:(=(sinx )/x+ cos x", ..."x!=0),(=2", ...

    Text Solution

    |

  13. If : f(x){:( =1", ... x is rational"),(=0", ...x is irr...

    Text Solution

    |

  14. Let f(x) be given that f(x)={{:(,x,"if x is rational"),(,1-x,"if x is ...

    Text Solution

    |

  15. The value of p and q for which the function f(x)""={(sin(p+1)x+sinx)/x...

    Text Solution

    |

  16. If : f(x) {:(=1", ... "0 ltx le (3pi)/4), (= 2 ...

    Text Solution

    |

  17. If : f(x) {:(=x.sin x ", ... " 0 lt x le pi/2),(=pi/2 sin...

    Text Solution

    |

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

    Text Solution

    |

  19. If : f(x) {:(=ax^(2)-b", ... " 0 le x lt 1 ),(=2", ...

    Text Solution

    |

  20. If : f(x) {:(=x^(2)", ... "x le 1 ),(= x+5 ", ... "...

    Text Solution

    |