Home
Class 11
MATHS
lim(x->oo)(sin^4x-sin^2x+1)/(cos^4x-cos^...

`lim_(x->oo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1)` is equal to

(a) 0

(b) 1

(c) `1/3`

(d) `1/2`

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

lim_(x->0)(sin(x^2))/(1n(cos(2x^2-x))) is equal to (a) 2 (b) -2 (c) 1 (d) -1

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

lim_(xtooo)((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

Evaluate lim_(x->pi/4)(1-sin2x)/(1+cos4x)

lim_(x->oo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45)) is equal to (a)16 (b) 24 (c) 32 (d) 8

("lim")_(ntooo)1/(1+nsin^2n x) is equal to (a) -1 (b) 0 (c) 1 (d) oo

lim_(xto-1)((x^4+x^2+x+1)/(x^2-x+1))^((1-cos(x+1))/((x+1)^(2)) is equal to (a) 1 (b) (2/3)^(1/2) (c) (3/2)^(1/2) (d) e^(1/2)

lim_(x->oo)cot^(-1)(x^(-a)log_a x)/(sec^(-1)(a^xlog_x a)),(a >1) is equal to (a) 2 (b) 1 (c) (log)_a2 (d) 0

If sin^4x+sin^2x=1 show that, cot^4x+cot^2x=1

The value of lim_(x to 0) ((e^x-1)log(1+x))/sin^2x is equal to

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. lim(xtooo) [((e)/(1-e))((1)/(e)-(x)/(1+x))]^(x) is :

    Text Solution

    |

  2. ("lim")(x -> 0)((1+tanx)/(1+sinx))^(cos e cx) is equal to (a)e ...

    Text Solution

    |

  3. lim(x->oo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 ...

    Text Solution

    |

  4. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

    Text Solution

    |

  5. "Find"(dy)/(dx)"if "y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0

    Text Solution

    |

  6. (c)answer any three questions: 1. if y=sin ^(-1) ((2x)/(1+x^2)) , find...

    Text Solution

    |

  7. If y=tan^(-1)((3x-x^3)/(1-3x^2)),-1/(sqrt(3))ltxlt1 /(sqrt(3)), then f...

    Text Solution

    |

  8. Find (dy)/(dx) for the functions: y=(x+sinx)/(x+cosx)

    Text Solution

    |

  9. Find the derivative of the function given by f(x)=(1+x)(1+x^2)(1+x^4)(...

    Text Solution

    |

  10. Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x...

    Text Solution

    |

  11. Let f(x)=xsinpix ,\ x >0 . Then for all natural numbers n ,\ f^(pr...

    Text Solution

    |

  12. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

    Text Solution

    |

  13. If y=sec^(-1)(1/(2x^2-1));0ltxlt (sqrt(2)), then find= (dy)/(dx)

    Text Solution

    |

  14. (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^(-1) (2) -((d^2y)/(dx^2)...

    Text Solution

    |

  15. Find (dy)/(dx) if y=log{e^x((x-2)/(x+2))^(3/4)}

    Text Solution

    |

  16. let f(x)=2+cosx for all real x. Statement 1: For each real t, there e...

    Text Solution

    |

  17. Differentiate the function with respect to x using the first principle...

    Text Solution

    |

  18. Differentiate the function with respect to x using the first principle...

    Text Solution

    |

  19. Differentiate the following functions with respect to x from first...

    Text Solution

    |

  20. If f(x) is differentiable and strictly increasing function, then the v...

    Text Solution

    |