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

`("lim")_(xvecoo)(-3+(-1)^n)/(4n-(-1)^n)` `-3/4` (b) `0` if `n` is even `-3/4` if `n` is odd (d) none of these

A

`-3/4`

B

0 if n is even

C

`-3/4` if n is odd

D

none of these

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 PUBLICATION|Exercise ComprehensionType|2 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer Type|2 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise Single Correct Answer Type|59 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE PUBLICATION|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

lim_(n->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

underset(nrarroo)"lim"(-3n+(-1)^(n))/(4n-(-1)^(n)) is equal to

Number of ways in which three numbers in A.P. can be selected from 1,2,3,..., n is a. ((n-1)/2)^2 if n is even b. n(n-2)/4 if n is even c. (n-1)^2/4 if n is odd d. none of these

The value of lim_(n->oo)[(2n)/(2n^2-1)cos((n+1)/(2n-1))-n/(1-2n)dot(n(-1)^n)/(n^2+1)]i s (a) 1 (b) -1 (c) 0 (d) none of these

lim_(nrarroo) (3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

lim_(n->oo)n^2(x^(1/n)-x^(1/((n+1)))),x >0 , is equal to (a)0 (b) e^x (c) (log)_e x (d) none of these

Let A=[1 0 1 1] . Then which of following is not true? (lim)_(nvecoo)1/(n^2)A^(-n)=[0 0-1 0] b. (lim)_(nvecoo)1/n A^(-n)=[0 0-1 0] c. A^(-n)=[1 0-n1]AAn!=N d. none of these

lim_(n->oo){1/(1-n^2)+2/(1-n^2)+......n/(1-n^2)} is equal to (a) 0 (b) -1/2 (c) 1/2 (d) none of these

lim_(nrarroo) [(1)/(n+1)+(1)/(n+2)+(1)/(n+3)+...+(1)/(n+n)]

Evaluate: ("lim")_(xvecoo)((a_1^( 1/x)+a_2^ (1/x)+ --+a_ n^(1/x))/n)^(n x)

CENGAGE PUBLICATION-LIMITS-Multiple Correct Answers Type
  1. If f(x)={x^nsin(1/(x^2)),x!=0 0,x=0,(n in I),t h e n ("lim")(xvec0)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Which of the following is/are correct?

    Text Solution

    |

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

    Text Solution

    |

  6. L=lim(x to a)(|2sinx-1|)/(2sinx-1)dotT h e n (a) limit does not exis...

    Text Solution

    |

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

    Text Solution

    |

  8. ("lim")(xvecoo)(-3+(-1)^n)/(4n-(-1)^n) -3/4 (b) 0 if n is even -3/4 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Let L=lim(x rarr0)(a-sqrt(a^2-x^2)-x^2/4)/x^4, a gt 0. If L is finite,...

    Text Solution

    |

  16. Let f(x) = ((1 - x(1+ |1-x | )) /(|1-x|)) cos(1/(1-x)) for x!=1 then p...

    Text Solution

    |

  17. If A=lim(x to 0) (sin^(-1)(sinx))/(cos^(-1)(cosx))and B=lim(x to 0)([|...

    Text Solution

    |

  18. Evaluate underset(xrarr0)(lim)(e^x-1-x)/x^2

    Text Solution

    |

  19. Evaluate underset(xrarr0^(+))(lim)(x/a)[b/x] where [.] represents grea...

    Text Solution

    |

  20. Evaluate underset(xrarr0)(lim)((x+3)/(1+x))^((x^2+2x-3)/(x-1))

    Text Solution

    |