Home
Class 12
MATHS
Evaluate lim(xtooo) (sqrt(x^(2)+1)-root(...

Evaluate `lim_(xtooo) (sqrt(x^(2)+1)-root(3)(x^3+1))/(root(4)(x^(4)+1)-root(5)(x^(4)+1))`

Text Solution

AI Generated Solution

To evaluate the limit \[ \lim_{x \to \infty} \frac{\sqrt{x^2 + 1} - \sqrt[3]{x^3 + 1}}{\sqrt[4]{x^4 + 1} - \sqrt[5]{x^4 + 1}}, \] we will simplify the expression step by step. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LIMITS

    CENGAGE|Exercise Exercise 2.1|10 Videos

  • LIMITS

    CENGAGE|Exercise Exercise 2.2|7 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

Evaluate: lim_(xrarr0) ((1+x)^(1/3)-root(3)(1-sinx))/x

Evaluate lim_(xtooo) x^(3){sqrt(x^(2)+sqrt(1+x^(4)))-xsqrt(2)}.

Knowledge Check

  • Lt_(x to infty) (root(3)x^(5) + 2) - (root(3)(x^(2)+1))/(root(5)(x^(4)+2)-root(2)(x^(3)+1)) =

    A
    `-1`
    B
    0
    C
    1
    D
    `infty`

    • Similar Questions

    Explore conceptually related problems

    Evaluate lim_(xtooo) (root(3)((x+1)(x+2)(x+3))-x).

    int(root(3)(x))(root(5)(1+root(3)(x^(4))))dx

    Evaluate lim_(xtooo) ((7x^(2)+1)/(5x^(2)-1))^((x^(5))/(1-x^(3))).

    Evaluate lim_(x rarr1)(root(1 3)(x)-root(7)(x))/(root(5)(x)-root(3)(x))

    Evaluate: lim_(x rarr2)(sqrt((x+7))-3sqrt((2x-3)))/(root(3)((x+6)-2root(3)((3x-5))))

    lim_(x rarr0)(root(3)(1+x)-root(3)(1-x))/(x)

    Evaluate lim_(xtooo) ((x^(2)+x-1)/(3x^(2)+2x+4))^((3x^(2)+x)/(x-2))

    Home
    Profile