Home
Class 11
MATHS
Find k so that ("lim")(x->2)\ f(x) may e...

Find `k` so that `("lim")_(x->2)\ f(x)` may exist, where `f(x)={2x+3,\ xlt=2x+k , x >2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTIONS TO 3-D COORDINATE GEOMETRY

    RD SHARMA|Exercise Solved Examples And Exercises|114 Videos
  • LINEAR INEQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|163 Videos

Similar Questions

Explore conceptually related problems

Find 'k' so that : lim_(x to 2) f(x) exists, where : f(x)={{:(2x+3",", "if "x le 2), (x+3k",", "if "x gt 2):}

Find 'k' so that : lim_(x to 2) f(x) exists, where : f(x)={{:(2x+3",", "if "x le 2), (x+2k",", "if "x gt 2):}

Find 'k' so that : lim_(x to 2) f(x) exists, where : f(x)={{:(2x+3",", "if "x le 2), (x+k",", "if "x gt 2):}

Find the value of 'a' such that lim_(x rarr 2) f(x) exists, where f(x) = {(ax+5, x lt 2),(x-1, x ge 2):}

Find (lim)_(x rarr1)f(x), where f(x)=[x^(2)-1,x 1

Find lim_(x to 0)f(x) and lim_(x to 1)f(x) , where f(x)={{:(2x+3",", x le 0), (3(x+1)",", x gt 0):}

Find lim_(x rarr0)f(x) and lim_(x rarr1)f(x), where f(x)=[(2x+3),x 0

Evaluate lim_(x rarr1)(f(x)-f(1))/(x-1), where f(x)=x^(2)-2x

Evaluate: lim_(x rarr 1) (f(x)-f(1))/(x-1), "where" f(x) = x^(2)-2x .

If (lim)_(x->2)(f(x-9))/(x-2)=3 then (lim)_(x->2)f(x), is

RD SHARMA-LIMITS-All Questions
  1. If f is an even function, then prove that lim(x->0^-) f(x) = lim(x->0^...

    Text Solution

    |

  2. Show that ("lim")(x->0)x/(|x|) does not exist.

    Text Solution

    |

  3. Find k so that ("lim")(x->2)\ f(x) may exist, where f(x)={2x+3,\ xlt=2...

    Text Solution

    |

  4. Show that ("lim")(x->0)1/x does not exist.

    Text Solution

    |

  5. Let f(x)={x+1,\ if\ x >0, x-1,\ if\ x<0dot Prove that ("lim")(x->1)\ f...

    Text Solution

    |

  6. Let f(x)=\ {x+5,\ if\ x >0x-4,\ if\ x<0 Prove that ("lim")(x->0)\ f(x)...

    Text Solution

    |

  7. Find ("lim")(x->3)\ f(x),\ w h e r e\ f(x)={4,\ if\ x >3x+1,\ if\ x<3

    Text Solution

    |

  8. Find lim(xrarr0)f(x)a n d(lim)(x-&gt;1)f(x),""""w h e r e""""f(x)=[2x+...

    Text Solution

    |

  9. Find (lim)(x->1)f(x),""w h e r e""f(x)=[x^2-1, xlt=1-x^2-1, x >1

    Text Solution

    |

  10. Evaluate ("lim")(x->0)f(x),\ w h e r e\ f(x)={(|x|)/x ,\ x!=0 0,\ x=0

    Text Solution

    |

  11. Find ("lim")(x->1^+)1/(x-1)dot

    Text Solution

    |

  12. Evaluate the following one sided limit: ("lim")(x->2^-)\ (x-3)/(x^2-4)

    Text Solution

    |

  13. Evaluate the following one sided limit: lim(x->-8^+)(2x)/(x+8)

    Text Solution

    |

  14. Evaluate the following one sided limit: ("lim")(x->pi//2^+)secx

    Text Solution

    |

  15. Evaluate the following one sided limit: ("lim")(x->-pi//2^+)(2-cotx)

    Text Solution

    |

  16. Evaluate the following one sided limit: ("lim")(x->2^-)\ (x-3)/(x^2-4)

    Text Solution

    |

  17. Evaluate the following one sided limit: ("lim")(x->0^+)2/(x^(1//5))

    Text Solution

    |

  18. Evaluate the following one sided limit: ("lim")(x->0^-)(x^2-3x+2)/(x^3...

    Text Solution

    |

  19. Evaluate the following one sided limit: ("lim")(x->0^-)\ 1+cos e c\ x

    Text Solution

    |

  20. Evaluate the following one sided limit: ("lim")(x->0^+)1/(3x)

    Text Solution

    |