Home
Class 12
MATHS
lim(ntooo) (-3n+(-1)^(n))/(4n-(-1)^(n)) ...

`lim_(ntooo) (-3n+(-1)^(n))/(4n-(-1)^(n))` is equal to `(n inN)`

A

`[-2,2]`

B

`[0,2]`

C

[-1,1]`

D

`[-2,1]`

Text Solution

Verified by Experts

The correct Answer is:
A, C
`underset(ntooo)lim(-3+((-1)^(n))/(n))/(4+((-1)^(n))/(4))=(-3)/(4)`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE|Exercise Exercise (Comprehension)|20 Videos

  • LIMITS

    CENGAGE|Exercise Exercise (Matrix)|5 Videos

  • LIMITS

    CENGAGE|Exercise Exercise (Single)|76 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

lim_(n rarr oo)(-3n+(-1)^(n))/(4n-(-1)^(n)) is equal to a.-(3)/(4)b.0 if n is even c.-(3)/(4) if n is odd d.none of these

lim_(ntooo) ((n^(2)-n+1)/(n^(2)-n-1))^(n(n-1)) is equal to

lim_(n to oo) ((1)/(n)+(1)/(n+1)+...+(1)/(3n)) is equal to

lim_(ntooo)(n-sqrt(n^(2)+n))

lim_(n rarr oo) ((4^(1/n)-1)/(3^(1/n)-1)) is equal to

lim_(n rarr oo) ((4^(1/n)-1)/(3^(1/n)-1)) is equal to

lim_(ntooo) ((n!)^(1//n))/(n) equals

lim_ (n rarr oo) (1) / ((n) ^ ((1) / (n))) is equal to

lim_(n rarr oo)(3^(n)+5^(n)+7^(n))^(1/n) is equal to

lim_(ntooo) n^(2)(x^(1//n)-x^(1//(n+1))),xgt0, is equal to

CENGAGE-LIMITS-Exercise (Multiple)
  1. Let f(x)={{:(1+(2x)/(a)", "0lexlt1),(ax", "1lexlt2):}."If" lim(xto1)...

    Text Solution

    |

  2. If f(x)=|x-1|-[x], where [x] is the greatest integer less than or equa...

    Text Solution

    |

  3. If lim(ntooo) (an-(1+n^(2))/(1+n))=b, where a is a finite number, then

    Text Solution

    |

  4. If m,n inN,lim(xto0) (sinx^(n))/((sinx)^(m)) is

    Text Solution

    |

  5. Let f(x)={{:(x^(n)sin(1//x^(2))","xne0),(0", "x=0):},...

    Text Solution

    |

  6. If L=lim(xto0) (1)/(x^(3))((1)/(sqrt(1+x))-(1+ax)/(1+bx)) exists,then

    Text Solution

    |

  7. Which of the following is true ({.} denotes the fractional part of the...

    Text Solution

    |

  8. Which of the following is/are correct?

    Text Solution

    |

  9. If lim(xto1) (2-x+a[x-1]+b[1+x]) exists, then a and b can take the val...

    Text Solution

    |

  10. Let L=lim(xtoa) (|2sinx-1|)/(2sinx-1). Then

    Text Solution

    |

  11. Let f(x)=lim(ntooo) (x)/(x^(2n)+1). Then

    Text Solution

    |

  12. lim(ntooo) (-3n+(-1)^(n))/(4n-(-1)^(n)) is equal to (n inN)

    Text Solution

    |

  13. Given a real valued function f such that f(x)={tan^2[x]/(x^2-[x]^2) ,...

    Text Solution

    |

  14. If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be c...

    Text Solution

    |

  15. The value of lim(ntooo) (1)/(1+nsin^(2)nx)" can be " (n inN)

    Text Solution

    |

  16. Let f(x) = (x^2-9x+20)/(x-[x]) where [x] denotes greatest integer less...

    Text Solution

    |

  17. Given lim(x to 0)(f(x))/(x^(2))=2, where [.] denotes the greatest inte...

    Text Solution

    |

  18. If f(a)=lim(xto2)(sin^(x)a+cos^(x)a)^((1)/((x-2)))" for "ain[0,(pi)/(2...

    Text Solution

    |