Home
Class 11
MATHS
("lim")(x to 0)(x^4((cot^4x-cot^2x+1)/(t...

`("lim")_(x to 0)(x^4((cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)))"is equals to"` (a)1 (b) 0 (c) 2 (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

lim_(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (b) 0 (c) 2 (d) none of these

sin(cot^(-1)(tan(cos^(-1)x))) is equal to a) x b) sqrt(1-x^2) c) 1/x d) none of these

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

("lim")_(xvecoo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 (b) 1 (c) 1/3 (d) 1/2

("lim")_(xvecoo)"{"x+5")"tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to pi (b) 2pi (c) pi/2 (d) none of these

tan(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x),x!=0, is equal to x (b) 2x (c) 2/x (d) none of these

lim_(x→0) (xcot4x)/((cot^2 2x)(sin^2 x)) is equal to (A) 1 (B) 2 (C) 4 (D) 6

lim_(x-gt0) (xcot4x)/((cot^2 2x)(sin^2 x)) is equal to (A) 1 (B) 2 (C) 4 (D) 6

lim_(xto0) (xcot(4x))/(sin^2x cot^2(2x)) is equal to

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

    Text Solution

    |

  2. Evaluate: ("lim")(x->pi/2)(cosx)^(cosx)

    Text Solution

    |

  3. ("lim")(x to 0)(x^4((cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)))"is equals t...

    Text Solution

    |

  4. Evaluate: ("lim")(x->0)(1+x)^(cos e cx )

    Text Solution

    |

  5. ("lim")(xrarroo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0...

    Text Solution

    |

  6. Evaluate: ("lim")(xrarr0)(cosx)^(cotx)

    Text Solution

    |

  7. lim(x->1)(1-x^2)/(sin2pix) is equal to (a)1/(2pi) (b) -1/pi (c)...

    Text Solution

    |

  8. Evaluate ("lim")(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

    Text Solution

    |

  9. lim(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a)...

    Text Solution

    |

  10. Evaluate: ("lim")(xvec0) ((1+x)^(1/x)-e+1/2e x)/(x^2)

    Text Solution

    |

  11. ("lim")(xvec0)(x^asin^b x)/(sin(x^c)), where a , b , c in R ~{0},exis...

    Text Solution

    |

  12. ("lim")(xvec0)(5sinx-7sin2x+3sin3x)/(x^2sinx)

    Text Solution

    |

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

    Text Solution

    |

  14. Evaluate the following limits using sandwich theorem: ("lim")(xvecoo)(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If (x^2+x−2)/(x+3) <= (f(x))/x^2 <= (x^2+2x−1)/(x+3) hold for a certai...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |