Home
Class 11
MATHS
Evaluate the following limits: lim(xto...

Evaluate the following limits:
`lim_(xto0)([sin(2+x)-sin(2-x)])/(x)`

Text Solution

Verified by Experts

The correct Answer is:
`2cos2`
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTIONS|10 Videos

  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTIONS|20 Videos

  • LINEAR INEQUALITIES

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER TYPE QUESTIONS (Solve to the following system of inequalities and represent solution on number line:)|3 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate the following limit: (lim)_(x rarr0)(sin(2+x)-sin(2-x))/(x)

Evaluate the following limits : lim_(x to 0)(e^(sin2x)-e^(sinx))/x

Evaluate the following limit: (lim)_(x rarr0)(sin(3+x)-sin(3-x))/(x)

Evaluate the following limits: lim_(xrarr0)(sin5x)/(sin8x)

Evaluate the following limits: lim_(xrarr0)((sinx-2sin3x+sin5x))/(x)

Evaluate the following limits: lim_(xrarr0)(sin(x//4))/(x)

Evaluate the following : lim_(x to 0)(sin^(2)x)/(2x)

Evaluate the following limit: (lim)_(x->0)(e^(sin2x)-e^(sin\ x))/x

Evaluate the following limits: lim_(xrarr0)((tan2x-sin2x))/(x^(3))

CBSE COMPLEMENTARY MATERIAL-LIMITS AND DERIVATIVES -LONG ANSWER TYPE QUESTIONS
  1. Evaluate, underset(xto(pi//4))"lim"(sinx-cosx)/(x-pi/4)

    Text Solution

    |

  2. Evaluate the following Limits lim(xto(pi)/(6))(sqrt(3)sinx-cosx)/((p...

    Text Solution

    |

  3. Evaluate the following Limits lim(xto0)(sinx)/(tanx)

    Text Solution

    |

  4. Evaluate the following Limits lim(xto 9)(x^((3)/(2))-27)/(x^(2)-81)

    Text Solution

    |

  5. Evaluate the following limit: (lim)(x->a)((x+2)^(5//2)-(a+2)^(5//2))/(...

    Text Solution

    |

  6. Evaluate the following Limits lim(xto0)(cosax-cosbx)/(1-cosx)

    Text Solution

    |

  7. Evaluate the following limits: lim(xtoa)(cosx-cosa)/(cotx-cota)

    Text Solution

    |

  8. Evaluate the following Limits lim(xto pi)(1+sec^(3)x)/(tan^(2)x)

    Text Solution

    |

  9. Evaluate the following Limits lim(xto1)(x-1)/(log(e)x)

    Text Solution

    |

  10. Evaluate the following Limits lim(xtoe)(x-e)/((log(e)x)-1)

    Text Solution

    |

  11. Evaluate the following Limits lim(xto2)[(4)/(x^(3)-2x^(2))+(1)/(2-x)...

    Text Solution

    |

  12. Evaluate the following Limits lim(xtoa)[(sqrt(a+2x)-sqrt(3x))/(sqrt(...

    Text Solution

    |

  13. Evaluate the following limits: lim(xto0)([sin(2+x)-sin(2-x)])/(x)

    Text Solution

    |

  14. Evaluate the following Limits lim(xto0)(1-cosx*sqrt(cos2x))/(sin^(2)...

    Text Solution

    |

  15. Evaluate the following Limits lim(xto0)(6^(x)-2^(x)-3^(x)+1)/(log(1+...

    Text Solution

    |

  16. Differentiate the following w.r.t. ((x-1)(x-2)(x-3))/(x^(2)-5x+6)

    Text Solution

    |

  17. Differentiate the following w.r.t. (x-(1)/(x))(x+(1)/(x))(x^(2)+(1)/...

    Text Solution

    |

  18. Differentiate the following w.r.t. (xsinx+cosx)/(xsinx-cosx)

    Text Solution

    |

  19. Differentiate the following w.r.t. x x*sinx*e^(x)

    Text Solution

    |

  20. Find the values of a and b if lim(xto2)f(x) and lim(xto4)f(x) exists w...

    Text Solution

    |