Home
Class 11
MATHS
If x1=3 and x(n+1)=sqrt(2+xn),ngeq1,t h ...

If `x_1=3` and `x_(n+1)=sqrt(2+x_n),ngeq1,t h e n""("lim")_(xrarroo)x_n` is (a) `-1` (b) `2` (c) `sqrt(5)` (d) 3

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If I_n=int_0^(sqrt(3))(dx)/(1+x^n),(n=1,2,3. .), then find the value of ("lim")_(n to oo)I_ndot (a)0 (b) 1 (c) 2 (d) 1/2

If y=tan^(-1)sqrt((x+1)/(x-1)),t h e n(dy)/(dx)i s (a) (-1)/(2|x|sqrt(x^2-1)) (b) (-1)/(2xsqrt(x^2-1)) (c) 1/(2xsqrt(x^2-1)) (d) none of these

f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim_(x->oo)f(x) is equal to (a) 1 (b) 1/2 (c) 2 (d) none of these

If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is (a)2 (b) 1 (c) -2 (d) none of these

If y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s (a) x/(2y-1) (b) x/(2y+1) (c) 1/(x(2y-1)) (d) 1/(x(1-2y))

Let I_(n)=int_(0)^(1)x^(n)sqrt(1-x^(2))dx. Then lim_(nrarroo)(I_(n))/(I_(n-2))=

If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to (a) n(n-1)y (b) n(n+1)y (c) n y (d) n^2y

Evaluate : lim_(xrarroo)(1+2+3+...+n)/n^2

If t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx) at x=0 is

If y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)(dy)/(dx) is equal to (a) x+y (b) 1+x y (c) 1-x y (d) x y-2

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. underset(xtooo)lim(e^(1//x^(2))-1)/(2tan^(-1)(x^(2))-pi) is equal to

    Text Solution

    |

  2. Evaluate: lim(x->oo) (1+1/(a+bx))^(c+dx) , where a,b,c and dare positi...

    Text Solution

    |

  3. If x1=3 and x(n+1)=sqrt(2+xn),ngeq1,t h e n""("lim")(xrarroo)xn is (...

    Text Solution

    |

  4. Evaluate: ("lim")(xtooo) (1+1/x)^x

    Text Solution

    |

  5. lim(x->0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (c) 1/...

    Text Solution

    |

  6. Evaluate: ("lim")(xrarr0)((a^x+b^x+c^x)/3)^(2/x);(a , b , c >0)

    Text Solution

    |

  7. underset(xtooo)lim{(x+5)tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to

    Text Solution

    |

  8. If f(n)=underset(xto0)lim{(1+"sin"(x)/(2))(1+"sin"(x)/(2^(2)))...(1+"s...

    Text Solution

    |

  9. If underset(xto-2^(-))lim(ae^(1//|x+2|)-1)/(2-e^(1//|x+2|))=underset(x...

    Text Solution

    |

  10. The population of a country increases by 2% every year. If it increase...

    Text Solution

    |

  11. Evaluate lim(xto-oo)[(x^(4)sin((1)/(x))+x^(2))/((1+|x|^(3)))].

    Text Solution

    |

  12. Evaluate the limit: lim(x->oo)((x+2)/(x+1))^(x+3)

    Text Solution

    |

  13. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

    Text Solution

    |

  14. Evaluate: lim(x->pi/2)(cosx)^(cosx)

    Text Solution

    |

  15. lim(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (...

    Text Solution

    |

  16. Evaluate: lim(x->0)(1+x)^(cos e cx )

    Text Solution

    |

  17. lim(x->oo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0 (c) e/(e^...

    Text Solution

    |

  18. Evaluate: lim(x->0)(cosx)^(cotx)

    Text Solution

    |

  19. lim(x->1)(1-x^2)/(sin2pix) is equal to (a)1/(2pi) (b) -1/pi (...

    Text Solution

    |

  20. Evaluate ("lim")(xto0)((sinx)/x)^(((sinx)/(x-sinx)))

    Text Solution

    |