Home
Class 12
MATHS
If f'(2^+) = 0 and f'(2^-)=0, then is f(...

If `f'(2^+) = 0` and `f'(2^-)=0`, then is `f(x)` continuous at `x=2` ?

Promotional Banner

Topper's Solved these Questions

  • PREVIOUS YEAR QUESTION 2018

    USHA PUBLICATION|Exercise PREVIOUS YEAR QUESTION |48 Videos

  • PREVIOUS YEAR QUESTION 2020

    USHA PUBLICATION|Exercise PREVIOUS YEAR QUESTION |46 Videos

Similar Questions

Explore conceptually related problems

Is f(x) = x^(3) continuous at x = 2 ?

If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).

If f(x)=e^(ax) sin ax and f"(0) = 2, then what is a ?

Show that the function f(x)=2x-|x| is continuous at x=0 .

If f(x) = {((1-cos4x)/x^2, when x 0):} . is continuous at x=0, then the value of a will be.

If 'f(x)= {((1-cos4x)/(x^2)),whenx 0):} , and f is continuous at x=0, then find the value of k.

Is the function f defined by f(x)={(x", if "xle1),(5", if "xgt1):} continuous at x=0, at x=1 and at x=2 ?

For what value of k, the function f(x)={((tan2x)/(x)", if "x!=0),(k", if "x=0):} is continuous at x=0 ?

USHA PUBLICATION-PREVIOUS YEAR QUESTION 2019-PREVIOUS YEAR QUESTION
  1. IF |{:(1+x,x,x^2),(x,1+x,x^2),(x^2,x,1+x):}| =a+bx+cx^2+dx^3+ex^4+fx^5...

    Text Solution

    |

  2. Let A and B be two mutually exclusive events, such that P(A)= (1)/(2) ...

    Text Solution

    |

  3. If f'(2^+) = 0 and f'(2^-)=0, then is f(x) continuous at x=2 ?

    Text Solution

    |

  4. If f is an odd function, then write the value of int-a^a(f(sinx))/(f(c...

    Text Solution

    |

  5. Write the order of the differential equaiton whose solution is given b...

    Text Solution

    |

  6. Let R be the relation on the set R of real numbers such that aRb iff a...

    Text Solution

    |

  7. Solve for x, 2 tan ^(-1)(cos x) =tan^(-1) (2"cosec"x).

    Text Solution

    |

  8. Prove that : "cos"^(-1) ((b+a "cos"x)/(a+b "cos"x)) =2"tan"^(-1)(sqr...

    Text Solution

    |

  9. Construct the multiplication table X7 on the set {1, 2, 3, 4, 5, 6}. A...

    Text Solution

    |

  10. Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...

    Text Solution

    |

  11. A person takes 4 tests in succession. The probability of his passing t...

    Text Solution

    |

  12. Find the probability distribution of number of heads in three tosses...

    Text Solution

    |

  13. If A=[[1,2,0],[0,1,3],[-2,5,3]], then verify that A+A' is symmetric an...

    Text Solution

    |

  14. If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0

    Text Solution

    |

  15. Find (d^2y)/(dx^2) if x=a costheta,y=bsintheta.

    Text Solution

    |

  16. Verify lagrange's Mean-Value theorem for F(x) = x^3 - 2x^2 - x + 3 o...

    Text Solution

    |

  17. Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal...

    Text Solution

    |

  18. Find the intervals in which the function y=(lnx)/(x) is increasing and...

    Text Solution

    |

  19. If y=e^(x^(e^(x^(e^x)))), then find dy/dx.

    Text Solution

    |

  20. Evaluate : int0^(pi//2)(cosxdx)/((2-sinx)(3+sinx))

    Text Solution

    |