Home
Class 11
MATHS
Evaluate underset(xtooo)lim(log(e)x)/(x)...

Evaluate `underset(xtooo)lim(log_(e)x)/(x)`

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 underset(xto0)lim(e^(x)-e^(xcosx))/(x+sinx).

Evaluate : underset(xrarroo)"lim"(2x-5)/(3x+2)

Evaluate: underset(x rarr 0)lim(log_e(1+alphax)/(e^(2x)-1))

Evaluate : underset(xrarroo)"lim"e^(1/(2x)+2)

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

Evaluate underset(xto pi//2)lim(sinx-(sinx)^(sinx))/(1-sinx+log_(e)sinx) .

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

Evaluate : underset(xrarr0)"lim"((e^(x)-1)log(1+x))/(sinx)

Evaluate underset(xrarr0)(lim)(sinx+log(1-x))/(x^2)

Evaluate underset(xrarr0)(lim)(e^x-1-x)/x^2

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate underset(xto0)lim(5sinx-7sin2x+3sin3x)/(x^(2)sinx).

    Text Solution

    |

  2. ("lim")(x->oo){(x^3+1)/(x^2+1)-(a x+b)}=2,t h e n (a)a=1,b=1 (...

    Text Solution

    |

  3. Evaluate underset(xtooo)lim(log(e)x)/(x)

    Text Solution

    |

  4. The value of lim(x->1)(2-x)^(tan((pix)/2)) is (a)e^(-2/pi) (b) e^...

    Text Solution

    |

  5. Evaluate the following limits using sandwich theorem: lim(x->oo)([x])...

    Text Solution

    |

  6. lim(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n...

    Text Solution

    |

  7. If (x^(2)+x-2)/(x+3)le(f(x))/(x^(2))le(x^(2)+2x-1)/(x+3) holds for a c...

    Text Solution

    |

  8. lim(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+roo...

    Text Solution

    |

  9. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2ltf(x)lt(x^2|...

    Text Solution

    |

  10. lim(y->0)((x+y)sec(x+y)-xsecx)/y is equal to (a) secx(xtanx+1) (b) x...

    Text Solution

    |

  11. Evaluate underset(ntooo)lim(1)/(1+n^(2))+(2)/(2+n^(2))+...+(n)/(n+n^(2...

    Text Solution

    |

  12. If L=lim(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| ...

    Text Solution

    |

  13. Suppose that f is a function such that 2x^2lt=f(x)lt=x(x^2+1) for all ...

    Text Solution

    |

  14. If L=lim(xto0) (e^(-x^(2)//2)-cosx)/(x^(3)sinx), then find the value o...

    Text Solution

    |

  15. If [dot] denotes the greatest integer function, then find the value of...

    Text Solution

    |

  16. If lim(x->oo) f(x) exists and is finite and nonzero and if lim(x->oo)...

    Text Solution

    |

  17. If 3-((x^(2))/(12))lef(x)le3+((x^(3))/(9)) in the neighborhood of x=0,...

    Text Solution

    |

  18. If f(x)={{:(x-1", "xge1),(2x^(2)-2", "xlt1):},g(x)={{:(x+1", "xg...

    Text Solution

    |

  19. Evaluate underset(xto0)lim{(sinx-x+(x^(3))/(6))/(x^(5))}.

    Text Solution

    |

  20. underset(xtooo)limf(x)," where "(2x-3)/(x)ltf(x)lt(2x^(2)+5x)/(x^(2))A...

    Text Solution

    |