Home
Class 12
MATHS
Let f(x) = underset(n rarr oo)("Lim")( 2...

Let `f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(2n))` then find
`underset( x rarr -oo)("Lim") f(x)`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-2(LEVEL-2)|5 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(2n)) then find underset( x rarr 0)("Lim")f(x)

Let f(x)=lim_(n rarr oo)(log(2+x)-x^(2n)sin x)/(1+x^(2n)) then

underset( x rarr oo) ( "Lim") ((x+ 2)/( x-2))^(x+1)=

Evaluate underset( x rarr oo) ( "Lim") x - x^(2) ln ( 1+ ( 1)/( x))

underset( x rarr oo)("Lim")[cos (2pi ((x)/(1+ x ))^(a))]^(x^(2))a in Q

If underset( x rarr oo) ( "lim") (( x^(2) + x+ 1)/(x+1) -ax -b) = 4 , then

Let f(x)=lim_(n rarr oo)(2x^(2n)sin\ 1/x+x)/(1+x^(2n)) then find (a) lim_(x rarr oo) x f(x) (b) lim_(x rarr 1) f(x)

Let f(x)=lim_(n rarr oo)(sin x)^(2n)

let f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1)

Evaluate underset( x rarr oo) ( "lim") ( pi - 2 tan^(-1) x ) ln x

MOTION-LIMIT-EXERCISE-3
  1. underset( xrarr oo )("Lim")x^(2) sin(lnsqrt( cos ""( pi)/( x)))

    Text Solution

    |

  2. Letf(x) = underset( n rarr oo)("Lim")underset( n=1)overset( n ) ( sum)...

    Text Solution

    |

  3. Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(...

    Text Solution

    |

  4. Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(...

    Text Solution

    |

  5. Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(...

    Text Solution

    |

  6. Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(...

    Text Solution

    |

  7. Evaluate the limit if exists, lim(x->1)[{ln(1+x)-ln2}{3.4^[x-1]-3x}]...

    Text Solution

    |

  8. lim(x->0)(2 7^x-9^x-3^x+1)/(sqrt(2)-sqrt(1+cosx))

    Text Solution

    |

  9. lim(x->0) tan^(-1) (a/x^2), where a in R

    Text Solution

    |

  10. Plot the graph of the function f(x)=lim(t->0)((2x)/pitan^(- 1)x/(t^2))

    Text Solution

    |

  11. lim(x->oo)((2x^2+3)/(2x^2+5))^(8x^2+3)

    Text Solution

    |

  12. lim(x->oo)((x+c)/(x-c))^x= 4 then find c.

    Text Solution

    |

  13. Evaluate: lim(x->oo) { ((a1)^(1/x)+(a2)^(1/x)+.... +(an)^(1/x))/n}^(n...

    Text Solution

    |

  14. L =lim(x->0)((1)/(ln(1+x))-1/(ln(x+sqrt(1+x^2)))) then find the value ...

    Text Solution

    |

  15. underset( x rarr 0 ) ( "Lim") ((x- 1+ cos x )/( x))^((1)/( x))

    Text Solution

    |

  16. underset( x rarr oo)("Lim")[cos (2pi ((x)/(1+ x ))^(a))]^(x^(2))a in Q

    Text Solution

    |

  17. lim(n->oo) ((sqrt(n^2+n)-1)/n)^(2sqrt(n^2+n)-1)

    Text Solution

    |

  18. underset( x rarr 0 ) ("Lim") [ ((1+x)^(1//x))/( e ) ]^(1//x)

    Text Solution

    |

  19. underset( x rarr oo) ("Lim") ((cos h ( pi //x))/(cos( pi//x)))^(x^(2))

    Text Solution

    |

  20. Evaluate lim(x->1)(root13 x- root 7 x)/(root5 x- root3 x)

    Text Solution

    |