Home
Class 11
MATHS
Evaluate underset(xto2^(+))lim([x-2])/(l...

Evaluate `underset(xto2^(+))lim([x-2])/(log(x-2)),` where `[.]` represents the greatest integer function.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xto2^(+)) ([x-2])/(log(x-2)), where [.] represents the greatest integer function.

lim_(xto0) [(1-e^(x))(sinx)/(|x|)] is (where [.] represents the greatest integer function )

Evaluate underset(xrarr0^(+))(lim)(x/a)[b/x] where [.] represents greatest integer function.

Evaluate : [lim_(x to 0) (sin x)/(x)] , where [*] represents the greatest integer function.

Evaluate : [lim_(x to 0) (tan x)/(x)] , where [*] represents the greatest integer function.

underset(xrarr(-1)/(3))(lim)(1)/(x)[(-1)/(x)]= (where [.] denotes the greatest integer function)

Find x satisfying [tanx]+[cotx]=2, where [.] represents the greatest integer function.

Prove that lim_(xto2) [x] does not exists, where [.] represents the greatest integer function.

int_(3)^(10)[log[x]]dx is equal to (where [.] represents the greatest integer function)

lim_(xrarr1([x]+[x]) , (where [.] denotes the greatest integer function )

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Show that ("lim")(xrarr0) (e^(1/x)-1)/(e^(1/x)+1) does not exist

    Text Solution

    |

  2. If f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):} ; g(x)={(2x,,,xgt1),(3-x ,,,...

    Text Solution

    |

  3. Evaluate underset(xto2^(+))lim([x-2])/(log(x-2)), where [.] represents...

    Text Solution

    |

  4. Find the value of the limit ("lim")(xto0) (((sqrt(a+x))-(sqrt(a-x)))/...

    Text Solution

    |

  5. Evaluate underset(xto0)lim(sin[cosx])/(1+[cosx]) ([.] denotes the grea...

    Text Solution

    |

  6. lim(x->0)((1^x+2^x+...........+n^x)/n)^(1/x) is equal to

    Text Solution

    |

  7. Consider the following graph of the function y=f(x). Which of the foll...

    Text Solution

    |

  8. If lim(xto0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

    Text Solution

    |

  9. If underset(xtoa)lim[f(x)+g(x)]=2 and underset(xtoa)lim[f(x)-g(x)]=1, ...

    Text Solution

    |

  10. Among (i) underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(x...

    Text Solution

    |

  11. Evaluate lim(x->0)(3x+|x|)/(7x-5|x|)

    Text Solution

    |

  12. The value of lim(x->0)(1+sinx-cosx+"log"(1-x))/(x^3) is (a)1/2 ...

    Text Solution

    |

  13. f(x)={x ,xlt=0 1,x=0,t h e nfin d("lim")(xvec0)f(x)x^2,x >0ife xi s t ...

    Text Solution

    |

  14. underset(xtooo)lim(e^(1//x^(2))-1)/(2tan^(-1)(x^(2))-pi) is equal to

    Text Solution

    |

  15. Evaluate: lim(x->oo) (1+1/(a+bx))^(c+dx) , where a,b,c and dare positi...

    Text Solution

    |

  16. If x1=3 and x(n+1)=sqrt(2+xn),ngeq1,t h e n""("lim")(xrarroo)xn is (...

    Text Solution

    |

  17. Evaluate: ("lim")(xtooo) (1+1/x)^x

    Text Solution

    |

  18. lim(x->0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (c) 1/...

    Text Solution

    |

  19. Evaluate: ("lim")(xrarr0)((a^x+b^x+c^x)/3)^(2/x);(a , b , c >0)

    Text Solution

    |

  20. underset(xtooo)lim{(x+5)tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to

    Text Solution

    |