Home
Class 12
MATHS
Prove that the function f(x) = 2x + 3 is...

Prove that the function `f(x) = 2x + 3` is continouns at `x = 1`.

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION III)(SHORT ANSWER TYPE QUESTIONS) |3 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION IV)(SHORT ANSWER TYPE QUESTIONS) |14 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION I)(MULTIPLE CHOICE QUESTIONS) |8 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

Similar Questions

Explore conceptually related problems

Prove that the function f(x) = 6x - 9 is continuous at x = 3 .

Prove that the function f(x) = x + |x| is continuous at x = 0 .

Prove that the function f(x) = 5x-3 is continuous at x = 0

Prove that the function f(x) = x^(2n) + 1 is continuous at x = n , n > 0

Prove that the function f(x) = 5x-3, is contNuous at x=0, at x=-3 and at x = 5

The function f (x) = 2-3 x is

Prove that the function f(x)=(2x-1)/(3x+4) is increasing for all x R.

Prove that the function f(x) = 2x^3 - 6x^2 + 6x + 5 has no maximum or minimum.

BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION II)(SHORT ANSWER TYPE QUESTIONS)
  1. Prove that the function f(x) = 2x + 3 is continouns at x = 1.

    Text Solution

    |

  2. Prove that the function f(x) = x^n, is continuous at x=n, where n is a...

    Text Solution

    |

  3. Prove that f(x) = |sin x| is continous at all point of its domnin.

    Text Solution

    |

  4. Discuss the continuity of f(x) at x = 0 of f(x) = {{:(sqrt(1 + x)/(...

    Text Solution

    |

  5. Discuss the continuity of the function f(x) at x = 5, if f(x) = {{:(...

    Text Solution

    |

  6. A function f is defined as f(x) = {{:((x^2 - x - 6)/(x^2- 2x - 3)","...

    Text Solution

    |

  7. Test the continuity of the function at x = 3, where f(x) = {{:((|x-3...

    Text Solution

    |

  8. Discuss the continuity of the function f(x) = {{:((|x - 2|)/(2 - x)"...

    Text Solution

    |

  9. Examine the continuity of f(x) = {{:((x)/(|x| )"," ,"if " x != 0),(0",...

    Text Solution

    |

  10. If f(x) = {{:((x)/(|x| + 2x^2)"," ,x != 0),(k",", x = 0):} Prove tha...

    Text Solution

    |

  11. Discuss the continuity of the function defined by f(x) = {{:((sin 3x...

    Text Solution

    |

  12. Discuss the continuity of the function defined by f(x) = {{:((tan 2x...

    Text Solution

    |

  13. Test the continuity of the following functions at indicated points : ...

    Text Solution

    |

  14. Test the continuity of the following functions at indicated points : ...

    Text Solution

    |

  15. Test the continuity of the following functions at indicated points : ...

    Text Solution

    |

  16. Determine k, so that f(x) = {{:((x^2 - 36)/(x - 6)"," ,"if " x != 6),(...

    Text Solution

    |

  17. Find k, so that f(x) = {{:((sin kx)/(x)"," ,x != 0),(4+ x",", x = 0):}...

    Text Solution

    |

  18. Determine k, if the following function is continuous at x = 0 f(x) =...

    Text Solution

    |

  19. For what value of k is the function defined by f(x) = {{:(k(x^2 + 2)...

    Text Solution

    |

  20. Find the value of k so that f(x) is continous at x = 0 f(x) = {{:((1...

    Text Solution

    |