Home
Class 12
MATHS
underset(n to oo)lim (sqrt(n^(4)+1)-sqrt...

`underset(n to oo)lim (sqrt(n^(4)+1)-sqrt(n^(4)-1))=`

A

2

B

0

C

`1//2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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 {sqrt(x^(2)+1)-sqrt(x^(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(1+25x^(2))+sqrt(9x^(2)-1))/(sqrt(1+25x^(2))-sqrt(9x^(2)-1))

underset(x to oo)lim (sqrt(x^(2)+1)-root3(x^(2)+1))/(root4(x^(4)+1)-root5(x^(4)+1)))=

underset(n to oo)lim (2^(n)-n)/(2^(n))=

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

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

underset(n to oo)lim (5^(n)+1)/(3^(n)-1)=

underset(x to oo)lim {sin sqrt(x+1)-sin sqrtx)=

underset(n to oo)lim (3^(x+1)+4)/(3^(x+2)+4)=