Home
Class 12
MATHS
If f(x) {:(=(x^(n)-2^(n))/(x-2)", i...

If f(x) ` {:(=(x^(n)-2^(n))/(x-2)", if " x!=2 ),(= 1024 ", if " x = 2):}` is continuous at x = 2, then n =

A

6

B

7

C

8

D

3

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

Lef f(x)=lim_(x rarr0)(x^(2n)sin^(n)x)/(x^(2n)-sin^(2n)x),x!=0 and f(0)=L for some n. If f(x) is continuous at x=0, then

f(x)=(x-2)^(2)x^(n),n in N then f(x) has

If f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1),x in R, the the the points where f(x) is not continuous are

MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. The value of f(0) that the function f(x) = ( root3 (1+x)-root 4 (...

    Text Solution

    |

  2. The function f(x) = (x^(3)+x^(2)-16x+20)/(x-2) is not defined at x = 2...

    Text Solution

    |

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

    Text Solution

    |

  4. If the function f(x) {:( = 4(5^(x))",....... " x lt0),(= 8a+x", ........

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |