Home
Class 11
MATHS
Evaluate underset(xrarr0)"lim"(2sinx-sin...

Evaluate `underset(xrarr0)"lim"(2sinx-sin2x)/(x^(3))`

Text Solution

Verified by Experts

The correct Answer is:
1
Given limit `=lim_(xto0)(2sinx(1-cosx))/(x^(3))=lim_(xto0)[2((sinx)/(x)).(2sin^(2)(x//2))/(((x)/(2))^(2)xx4)]=1.`
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27C|15 Videos

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27A|40 Videos

  • HYPERBOLA

    RS AGGARWAL|Exercise EXERCISE 24|23 Videos

  • LINEAR INEQUATIONS (IN ONE VARIABLE)

    RS AGGARWAL|Exercise EXERCISE 6B|12 Videos

Similar Questions

Explore conceptually related problems

lim_(xrarr0) (sin4x-sin2x+x)/(x)=?

lim_(xrarr0)(tanx-sinx)/(x^3)=

lim_(xrarr0)""(sin|x|)/(x)

lim_(xrarr0)(sin (pisin^(2)x))/(x^(2))=

If underset( x rarr 0 ) ("Lim") ( sin 2x + a sinx )/( x^(3)) = p ( finite ) , then

Evaluate lim_(xto0) (2sinx-sin2x)/(x^(3))

Find underset( x rarr 0 ) ( "Lim") ( e^(sinx) -sin x -1)/( x^(2))

Lim_(xrarr0)(1+sinx-cosx+ln(1-x))/(x.tan^(2)x)

Evaluate: lim_(xrarr0) (tan x-sin x)/(x^(3))

RS AGGARWAL-LIMIT-EXERCISE 27B
  1. Evaluate the following limits: lim(xrarr0)((1-cos2x))/((1-cos6x))

    Text Solution

    |

  2. Evaluate, underset(xrarr0)"lim"(1-cosmx)/(1-cosnx)

    Text Solution

    |

  3. Evaluate underset(xrarr0)"lim"(2sinx-sin2x)/(x^(3))

    Text Solution

    |

  4. Evaluate the following limits: lim(xrarr0)((tanx-sinx))/(sin^(3)x)

    Text Solution

    |

  5. Evaluate the following limits: lim(xrarr0)((tan2x-sin2x))/(x^(3))

    Text Solution

    |

  6. lim(xrarr0)("cosec"x-cotx)/(x) is equal to

    Text Solution

    |

  7. Evaluate the following limits: lim(xrarr0)((cot2x-cosecex))/(x)

    Text Solution

    |

  8. Evaluate the following limits: lim(xrarr0)((cosecx-cotx))/(x^(3))

    Text Solution

    |

  9. lim(xrarr(pi//4))(sec^(x)-2)/(tanx-1) is

    Text Solution

    |

  10. Evaluate the following limits: lim(xrarr(pi)/(4))((cosec^(2)x-2))/((...

    Text Solution

    |

  11. Evaluate the following limits: lim(xrarr (pi)/(4))(tanx-1)/((x-(pi)/(...

    Text Solution

    |

  12. lim(x->pi)((sin3x-3sinx)/((pi-x)^3))

    Text Solution

    |

  13. Evaluate: ("lim")(xvecpi/2)(1+cos2x)/((pi-2x)^2)

    Text Solution

    |

  14. Evaluate the following limits: lim(xrarra)((sinx-sina))/((x-a))

    Text Solution

    |

  15. Evaluate the following limits: lim(xrarra)((sinx-sina))/((x-a))

    Text Solution

    |

  16. Evaluate the following limits: lim(xrarra)((sinx-sina))/((sqrtx-sqrta...

    Text Solution

    |

  17. Evaluate the following limits: lim(xrarr0)((sin5x-sin3x))/(sinx)

    Text Solution

    |

  18. Evaluate the following limits: lim(xrarr0)((cos3x-cos5x))/(x^(2))

    Text Solution

    |

  19. Evaluate the following limits: lim(xrarr0)((sin3x+sin5x))/((sin6x-si...

    Text Solution

    |

  20. Evaluate the following limits: lim(xrarr0)([sin(2+x)-sin(2-x)])/(x)

    Text Solution

    |