Home
Class 11
MATHS
Show that underset(x to oo)("Lt") sqrt( ...

Show that `underset(x to oo)("Lt") sqrt( x^2 + x) - x = (1)/(2)`.

Text Solution

Verified by Experts

The correct Answer is:
`1/2`
Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER 12

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - B ( Short Answer type questions)|7 Videos
  • MODEL PAPER 12

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (Long Answer type questions)|9 Videos
  • MODEL PAPER 12

    VGS PUBLICATION-BRILLIANT|Exercise Section -C (Long Answer Type Questions)|7 Videos
  • MODEL PAPER 11

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (Long Answer type questions)|7 Videos
  • MODEL PAPER 2

    VGS PUBLICATION-BRILLIANT|Exercise SECTION -C (LONG ANSWER TYPE QUESTIONS)|7 Videos

Similar Questions

Explore conceptually related problems

underset(x to oo)"Lt" 1/x=

underset(x to 1)"Lt" sqrt(1-x)=

underset(x to 2-)"Lt" sqrt(2-x)=

underset(x to -oo)"Lt" e^x=

underset(x to 3+)"Lt" sqrt(x-3)=

underset(x to 2)"Lt" sqrt(4-x^(2))=

underset(x to oo)"Lt" 1/x^(2)=

underset(x to oo)"Lt" x tan"" 1/x =

underset(x to 0)"Lt" (sqrt(1+x+x^2))/(x)=

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