Home
Class 12
MATHS
let f(x)=(ae^|sinx|-bcosx-|x|)/(x^2) if ...

let `f(x)=(ae^|sinx|-bcosx-|x|)/(x^2)` if `f(x)` is continuous at `x=0` then find the values of a and b

A

f(x) is always discontinuous at x = 0

B

f(x) is continuous at,x = 0 if a=b=c=1

C

`f'(0)=1`

D

f(x) is continuous but not differentiable at x=0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (2) (TRUE AND FALSE) |4 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (2) (FILL IN THE BLANKS) |2 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (1) (FILL IN THE BLANKS) |7 Videos

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Self Assessment Test|25 Videos

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos

Similar Questions

Explore conceptually related problems

let f(x)=(ae^(|sin x|)-b cos x-|x|)/(x^(2)) if f(x) is continuous at x=0 then find the values of a and b

Let f(x)=lim_(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is continuous for all x in R then find the values of a and b.

If f(x)=(sin 2x+A sinx+B cosx)/(x^(3)) is continuous at x = 0, then the values of A, B and f(0) are

If f(x)={{:((sin(a+1)x+2sinx)/x", "xlt0),(2" ,"x=0),((sqrt(1+bx)-1)/x" ,"xgt0):} is continuous at x = 0, then find the values of 'a' and 'b'.

Let f(x)=[((x^2+3x-1)t a n x)/(x^2+2x)\ if\ x!=0,kif\ x=0 f(x) is continuous , then find the value of kdot

if f(x)=(e^(x^(2))-cosx)/(x^(2)) , for xne0 is continuous at x=0 , then value of f(0) is

If the function f(x)={{:(sinx,xne0),(k,x=0):} is continuous at x = 0 than find the value of k?

The function f(x)={{:(sinx/x+cosx", if "xne0),(k", if "x=0):} is continuous at x = 0, then the value of 'k' is :

If f(x) = (sin 2x + A sin x + B cos x)/(x^(3)) is continuous at x = 0. Find the values of A and B. Also, find f(0)

If f(x)={{:(a+bcosx+csinx)/x^2,,xgt0), (9,,xge0):}} is continuous at x = 0 , then the value of (|a|+|b|)/5 is

ML KHANNA-LIMITS, CONTINUITY AND DIFFERENTIABILITY -PROBLEM SET (2) (MULTIPLE CHOICE QUESTIONS)
  1. If f(x)={1/((pi-2x)^2)dot(logsinx)/((log(1+pi^2-4pix+4x^2)),x!=pi/2k ...

    Text Solution

    |

  2. If f(x) = {{:((sin (a+1) x + sinx)/x, x lt 0),((sqrt(x+bx^(2))- sqrt(x...

    Text Solution

    |

  3. let f(x)=(ae^|sinx|-bcosx-|x|)/(x^2) if f(x) is continuous at x=0 then...

    Text Solution

    |

  4. Let f(x) = {(x^(p) sin 1/x, x ge 0),(0, x =0):} Then f(x) is continuo...

    Text Solution

    |

  5. The value of k which makes f(x) = {{:(sin(1//x), x ne 0),(k, x =0):}, ...

    Text Solution

    |

  6. f(x) = {{:(-1, x lt -1),(-x, -1 le x le 1),(1, x gt 1):} is continous

    Text Solution

    |

  7. If f(x)=int(-1)^(x)|t|dt ,x>=-1 then

    Text Solution

    |

  8. The following functions are continuous on (0, pi)

    Text Solution

    |

  9. Given the function f(x) = 1/(1-x). The points of discontinuity of the ...

    Text Solution

    |

  10. If f(x) is defined by: f(x) = {{:((|x^(2)-x|)/(x^(2)-x), (x ne 0,1)),(...

    Text Solution

    |

  11. Let f(x) =|x| + |x-1|, then

    Text Solution

    |

  12. The function f(x)=|x|+|x-1|,is

    Text Solution

    |

  13. Let f(x) = {{:((x^(4) -5x^(2)+4)/(|(x-1)(x-2)|), (x ne 1,2)),(6, x=1),...

    Text Solution

    |

  14. Let f(x) =x-|x-x^(2)|, x in [-1,1].Then the number of points at which ...

    Text Solution

    |

  15. The function f(x) =[x]^(2) -[x^(2)] (where [y] is thegreatest integer ...

    Text Solution

    |

  16. On the interval [-2,2] the function: f(x) = {{:((x+1)e^(-{1/|x|+1/x}...

    Text Solution

    |

  17. Let f(x) = {{:(int(0)^(x) {5+|1-t|dt}, if x gt 2),(5x+1, if x le 2):},...

    Text Solution

    |

  18. The function f(x) =[x] cos{(2x-1)//2} pi denotes the greatest integer...

    Text Solution

    |

  19. The number of points where f(x) =[sin x + cos x] (where [.] denotes th...

    Text Solution

    |

  20. Let f: R to R be any function. Define g : R to R by g(x) = | f(x)|, A...

    Text Solution

    |