Home
Class 12
MATHS
Distinguish between underset(xrarra)"lim...

Distinguish between `underset(xrarra)"lim"f(x)andf(a)`

Promotional Banner

Topper's Solved these Questions

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE 2 ( Short Answer Type Questions)|80 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE 2 ( Long Answer Type Questions)|38 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE 2 (Multiple Choice Type Questions)|20 Videos

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos

  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(E. Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

underset(xrarr0)"lim"(a^(2x)-1)/(x) =

underset(xrarr0)"lim"(e^(3x)-1)/(x) =

underset(xrarroo)(lim)(sinx/x)

underset(xrarr0)"lim"(log(1+4x))/(x) =

underset(xrarr 0)"lim"(sin^(-1)x)/(x) =

underset(xrarr1)"lim"(x-1)/(sqrt(x)-1)= ?

underset(xrarr2)"lim"(x^(5)-32)/(x-2)= ?

underset(xrarr4)"lim"(sqrt(x)-2)/(x-4)= ?

underset(xrarr0)"lim"(sinx)/(sqrt(x)) is -

Evaluate : underset(xrarr0)"lim"(1)/(x) .

CHHAYA PUBLICATION-LIMIT-EXERCISE 2 (Very Short Answer Type Questions )
  1. Evaluate the following limits: lim (x->1)((sqrt(2-x)-1)/(1-x))

    Text Solution

    |

  2. Distinguish between underset(xrarra)"lim"f(x)andf(a)

    Text Solution

    |

  3. Using underset(xrarr0)"lim"(e^(x)-1)/(x)=1" deduce that ," underset(xr...

    Text Solution

    |

  4. Starting from underset(xrarra)"lim"(x^(n)-a^(n))/(x-a)=na^(n-1)" deduc...

    Text Solution

    |

  5. Using underset(xrarra)"lim"(e^(x)-1)/(x)" ,show that ," underset(xrarr...

    Text Solution

    |

  6. Prove each of the following limits by graphical methods : underset(x...

    Text Solution

    |

  7. Prove each of the following limits by intuitive and graphical methods ...

    Text Solution

    |

  8. Prove each of the following limits by intuitive and graphical methods ...

    Text Solution

    |

  9. Prove each of the following limits by intuitive and graphical methods ...

    Text Solution

    |

  10. Prove that : underset(xrarr3)"lim"(x^(2)-9)/(x-3)=6

    Text Solution

    |

  11. If f(x)=sqrt(x-3), " does "underset(xrarr3)"lim"f(x) exist ? Give rea...

    Text Solution

    |

  12. A function phi(x) is defined as follows : phi(x){:(= 2," when"xne1)...

    Text Solution

    |

  13. If f(x)=(|x|)/(x),"show that ,"underset(xrarr0)"lim"f(x) does not ex...

    Text Solution

    |

  14. Evaluate the following limits : underset(xrarr2)"lim"(x(x^(2)-4))/...

    Text Solution

    |

  15. Evaluate the following limits : underset(hrarr1)"lim"(h^(2)+2h-3)/(...

    Text Solution

    |

  16. Evaluate the following limits : underset(hrarr-(1)/(2))"lim"(6x^(2)...

    Text Solution

    |

  17. Evaluate the following limits : underset(urarr-3)"lim"[(1)/(u+3)+(6...

    Text Solution

    |

  18. Evaluate the following limits : underset(xrarr1)"lim"(x^(3)-1)/(x^(...

    Text Solution

    |

  19. Evaluate the following limits : underset(xrarr1)"lim"(x^(2)+5x-6)/(...

    Text Solution

    |

  20. Evaluate the following limits : underset(xrarr(a)/(2))"lim"(8x^(2)-...

    Text Solution

    |