Home
Class 12
MATHS
Evaluate the following limits: lim(hto...

Evaluate the following limits:
`lim_(hto0)((a+h)^(2)sin(a+h)-a^(2)sina)/(h)`

Text Solution

Verified by Experts

The correct Answer is:
`a^(2)cosa+2asina`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBHS ARCHIVE 2017 (UNIT-1)|4 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBHS ARCHIVE 2017 (UNIT-2)|6 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limits in lim_(rarr1)pir^(2)

Evaluate the following limits in lim_(xrarr0)x secx

Evaluate the following limits in lim_(xrarr0)(sinax)/(bx)

Evaluate the following limits in lim_(xrarr0)(ax+b)/(cx+1)

Evaluate the following limits: lim_(x to 3)sin(e^(x-3)-1)/(log(x-2))

Evaluate the following limits: lim_(xto0)(sinx^(2)(1-cosx^(2)))/(x^(6))

Evaluate the following limits: lim_(x to 0)[(1)/(x)-log(1+x)/(x^(2))]

Evaluate the following limits in lim_(xrarr0)(cosx)/(pi-x)

Evaluate the following limits : lim_(xrarr0)(1+|sinx|)^(1/x)

Evaluate the following limits : lim_(xrarrpi/2)(pi/2-x) tanx

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-CALCULUS
  1. Evaluate the following limits: lim(xto0)(sinx^(2)(1-cosx^(2)))/(x^(6...

    Text Solution

    |

  2. Evaluate the following limits: lim(xto0)(xe^(x)-log(1+x))/(x^(2))

    Text Solution

    |

  3. Evaluate the following limits: lim(hto0)((a+h)^(2)sin(a+h)-a^(2)sina...

    Text Solution

    |

  4. Evaluate the following limits: lim(ntooo)[(n)/(n^(2))+(n+1)/(n^(2))+...

    Text Solution

    |

  5. Evaluate the following limits: lim(xto3)(3-sqrt(6+x))/(3sqrt3-sqrt(6...

    Text Solution

    |

  6. Evaluate the following limits: lim(xto0)(sqrt(cosx)-root3cosx)/(sin^...

    Text Solution

    |

  7. Evaluate the following limits: lim(xto0)[coec^(3)xcotx-2cot^(3)xcose...

    Text Solution

    |

  8. Evaluate the following limits: lim(xto(pi)/(2))(xtanx-(pi)/(2)secx)

    Text Solution

    |

  9. Show that lim(xto1)(sqrt(1-cos(x-1)))/(x-1) does not exist.

    Text Solution

    |

  10. Evaluate: lim(xto2)(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))

    Text Solution

    |

  11. Evaluate: lim(xto(pi)/(2))((2xsecx)/(pi)-tanx)

    Text Solution

    |

  12. Evaluate: lim(xto0)(cosx)^(cot^(2)x)

    Text Solution

    |

  13. Evaluate: lim(xto(1)/(2))(cos^(2)pix)/(e^(2x)-2ex)

    Text Solution

    |

  14. Evaluate: lim(xto(pi)/(3))(tan^3x-3tanx)/(cos(x+(pi)/(6)))

    Text Solution

    |

  15. Evaluate: lim(xtoa)(ae^(x)-xe^(a))/(x-a)

    Text Solution

    |

  16. Evaluate: lim(xto0)(e^(x)-log(e+ex))/(x)

    Text Solution

    |

  17. Evaluate: lim(xto(pi)/(2))(1+cosx)^(3secx)

    Text Solution

    |

  18. Evaluate: lim(xto(1)/(2))(sin((pix)/(2))-cos((pix)/(2)))/((1)/(2)-x)

    Text Solution

    |

  19. Evaluate: lim(xto0)((x-1+cosx)/(x))^(1//x)

    Text Solution

    |

  20. Evaluate: lim(xto2)(sqrt(1+sqrt(2+x))-sqrt3)/(x-2)

    Text Solution

    |