Home
Class 11
MATHS
Prove that underset (x rarr 0) lim (sin ...

Prove that `underset (x rarr 0) lim (sin x)/x=1`,where x is in radian and hence evaluate:`underset(x rarr 0)lim (sin 4x)/(sin 2x)`.

Promotional Banner

Topper's Solved these Questions

  • SOLVED PAPER 2020-1

    OSWAAL PUBLICATION|Exercise EXERCISE|54 Videos

Similar Questions

Explore conceptually related problems

Prove that underset(xrarr0)lim(sinx)/x=1 , where x measured in radians , Also evaluate underset(xrarr0)lim(sin4x)/x ?

Evaluate : underset (x rarr 0)lim (3x-tan 4x)/(x+sin x) .

Evaluate: underset( x rarr 0)lim (ax+xcos x)/(b sin x) .

lim_(x rarr 0) (sin x^(o) )/x=

lim_(x rarr 0) (|sin x|)/x is

Evaluate underset(x rarr 0) lim [((x+1)^5-1)/x] .

lim_(x rarr 0) (sin(4x)/(5x) )=

The value of underset(x rarr 0)(lim) ((e^(x)-1)/(x)) is

lim_(x rarr 0) (1-cos 4x)/(x2) =

OSWAAL PUBLICATION-SOLVED PAPER 2020-2-EXERCISE
  1. Consider the experiment of rolling die. Let A be the event 'getting a ...

    Text Solution

    |

  2. Consider the experiment of rolling die. Let A be the event 'getting a ...

    Text Solution

    |

  3. A committee of two persons is selected from two men and two women.What...

    Text Solution

    |

  4. A committee of two persons is selected from two men and two women. Wha...

    Text Solution

    |

  5. Define a modulus function.If the function f:R rarr R is defined by f(x...

    Text Solution

    |

  6. Prove that : (sin 5x-2sin3x+sinx)/(cos5x-cosx)=tanx

    Text Solution

    |

  7. 1^(2)+2^(2)+3^(2)+..........+n^(2)=(n(n+1)(2n+1))/(6)

    Text Solution

    |

  8. Solve the inequalities graphically 3x+4yle60,x+3yle30,xge0,yge0.

    Text Solution

    |

  9. What is the number of ways of choosing 4 cards from a pack of 52 play...

    Text Solution

    |

  10. What is the number of ways of choosing 4 cards from a pack of 52 play...

    Text Solution

    |

  11. What is the number of ways of choosing 4 cards from a pack of 52 play...

    Text Solution

    |

  12. What is the number of ways of choosing 4 cards from a pack of 52 play...

    Text Solution

    |

  13. State and prove Bionomial theorem for any positive integer n.

    Text Solution

    |

  14. Derive the equation of a straight line having the intercepts 'a' & 'b'...

    Text Solution

    |

  15. Find the co-ordinates of the point P which divides the line segment jo...

    Text Solution

    |

  16. Prove that underset (x rarr 0) lim (sin x)/x=1,where x is in radian an...

    Text Solution

    |

  17. (a)Derive geometrically that cos(x+y)=cos x cos y-sin x sin y.Hence de...

    Text Solution

    |

  18. Find the sum to n terms of the series , 5+11+19+29+41…

    Text Solution

    |

  19. Derive the equation of the ellipse in the form (x^(2))/(a^(2))+(y^(2))...

    Text Solution

    |

  20. Find the derivative of (x + cos x)/(tan x) with respect to x

    Text Solution

    |