Home
Class 12
MATHS
underset(x to oo)lim x^(3//2) (sqrt(x^(3...

`underset(x to oo)lim x^(3//2) (sqrt(x^(3)+1)-sqrt(x^(3)-1))=`

A

1

B

`-1`

C

0

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B( One Sided Limits)|71 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C(Continuity)|86 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • LINEAR PROGRAMMING [APPENDIX-2]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise -1|33 Videos

Similar Questions

Explore conceptually related problems

underset(x to oo)lim {x-sqrt(x^(2)+x)}=

underset(x to oo)lim {sqrt(x^(2)+1)-sqrt(x^(2)-1)}=

underset(x to oo)lim (|3x^(2)+1|)/(2x^(2)+1)=

underset(x to oo)lim {sqrt(x^(2)+ax+b)-x} =

underset(x to oo)lim (sqrt(3x^(2)+5))/(5x+3)=

underset(x to oo)lim (sqrt(1+25x^(2))+sqrt(9x^(2)-1))/(sqrt(1+25x^(2))-sqrt(9x^(2)-1))

underset(x to oo)lim (sqrt(1+9x^(2))+sqrt(x^(2)-1))/(sqrt(1+9x^(2))-sqrt(x^(2)-1))=

underset(x to oo)lim [sqrt(x^(2)+2x-1)-x]=

underset(x to oo)lim sqrtx (sqrt(x+c)-sqrtx)=

underset(x to oo)lim ((x^(3))/(3x^(2)-1)-(x^(2))/(3x+1))=