Home
Class 12
MATHS
Evaluate : underset(yrarr-1)"lim "(y^(2)...

Evaluate : `underset(yrarr-1)"lim "(y^(2)-3y+6)/(2y^(2)+5y)` .

Text Solution

Verified by Experts

The correct Answer is:
`-(10)/(3)`
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    CHHAYA PUBLICATION|Exercise IIIustrative Examples|53 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise EXERCISE 2 (Multiple Choice Type Questions)|20 Videos

  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion- Reason Type)|3 Videos

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos

  • LINEAR DIFFERENTIAL EQUATION

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

Similar Questions

Explore conceptually related problems

Evaluate : underset(xrarry)"lim"(sin^(2)x-sin^(2)y)/(x^(2)-y^(2))

Evaluate: underset(x rarr y)lim (cos^(2)x - cos^(2)y)/(x^(2) - y^(2))

Prove : underset(xrarry)"lim"(cos^(2)x-cos^(2)y)/(x^(2)-y^(2))=-(sin2y)/(2y)

Prove that underset(xrarry)"lim"(x^(9//2)-y^(9//2))/(x^(5//2)-y^(5//2))=(9)/(5)y^(2)

x^(2)(dy)/(dx)=y^(2)-5y+6

Evaluate : lim_(xrarry)(cos^2x-cos^2y)/(x^2-y^2)

Multiply: ( 2x^2y-y^2 ) (3x-5y).

If (3x-5y)/(3x+5y) = 1/2 . Then find the value of (3x^(2)-5y^(2))/(3x^(2) + 5y^(2)) .

Find the square roots : y+sqrt(y^(2)-x^(2)) (x6^(2)gt y^(2))

Find the area of the region bounded by the curves 2y^(2)=x, 3y^(2)=x+1, y=0 .

CHHAYA PUBLICATION-LIMIT-EXAMPLE
  1. Find the value of : lim(x rarr oo) ((x+5)/(x-1))^(5)

    Text Solution

    |

  2. Does underset(xrarr4)"lim"sqrt(4-x) exist ?

    Text Solution

    |

  3. Does underset(xrarr2)"lim"(x^(2)-4)/(x-2) exist If so , find its val...

    Text Solution

    |

  4. A function f (x) is defined as follwos : f(x){:(=1,","" when " xne0...

    Text Solution

    |

  5. Draw the graph of y=f(x)=(x^(2))/(x) and from the graph examine wheth...

    Text Solution

    |

  6. Draw the graph of the function f(x)=(|x|)/(x) and from the graph disc...

    Text Solution

    |

  7. Let f(x){:(=x^(2),","" when "xlt1),(=1,",""when "xle1):} Draw t...

    Text Solution

    |

  8. Show that underset(xrarr1)"lim"(1)/(x-1)^(2)=+oo .

    Text Solution

    |

  9. Evaluate : underset(xrarr0)"lim"(1)/(x) .

    Text Solution

    |

  10. Evaluate : underset(xrarr-oo)"lim"(1+(2)/(x^(2))).

    Text Solution

    |

  11. Prove that underset(xrarroo)"lim"(1)/(x)=0.

    Text Solution

    |

  12. Show that underset(xrarr2)"lim"(x^(2)-3x+5)=3.

    Text Solution

    |

  13. Prove that underset(xrarr2)"lim"(x^(2)-3x+5)=3. Where n is a positive ...

    Text Solution

    |

  14. Evaluate : underset(yrarr-1)"lim "(y^(2)-3y+6)/(2y^(2)+5y) .

    Text Solution

    |

  15. If p(x)=a(0)x^(n)+a(1)x^(n-1)+a(2)x^(n-2)+.....+a(n-1)x+a(n)," prove t...

    Text Solution

    |

  16. Evaluate : underset(xrarr1)"lim"sin(2x^(2)-x-1).

    Text Solution

    |

  17. show that underset(xrarr-2)"lim"sqrt(x^(3)+3x^(2)-x+3)=3

    Text Solution

    |

  18. Evaluate : underset(hrarr0)"lim"e^(2)h^(2-3h+2)

    Text Solution

    |

  19. Prove that underset(xrarr4)"lim"log(2.x^(3//2)-3.x^(1//2)-1)=2log3.

    Text Solution

    |

  20. Show that underset(thetararralpha)"lim"sintheta=sinalpha.

    Text Solution

    |