Home
Class 12
MATHS
Show that : Lt(x to a)(sqrt(a+2x)-sqrt...

Show that :
`Lt_(x to a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x))=(2)/(3 sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
`(2)/(3sqrt(3))`
Promotional Banner

Topper's Solved these Questions

  • SOLVED MODEL PAPER -5

    SRISIRI PUBLICATION|Exercise SECTION-B|6 Videos
  • SOLVED MODEL PAPER -5

    SRISIRI PUBLICATION|Exercise SECTION-C|7 Videos
  • SOLVED MODEL PAPER -3

    SRISIRI PUBLICATION|Exercise SECTION-C|7 Videos
  • SOLVED MODEL PAPER -7

    SRISIRI PUBLICATION|Exercise SECTION-C|7 Videos

Similar Questions

Explore conceptually related problems

Show that Lt_(xtoa)(sqrt(3a+x)-2sqrtx)/(sqrt(a+2x)-sqrt(3x))=(3sqrt3)/2

lim_(xto a) (sqrt(a + 2x) - sqrt(3a))/(sqrtx - sqrta)

Show that : Lt_(x to 0)(sqrt(1+x)-sqrt(1+x^(2)))/(sqrt(1+x^(2))-sqrt(1-x))=1

Show that Lt_(xto0)(sqrt(7+x)-sqrt(7+x^(2)))/(sqrt(7-x^(2))-sqrt(7-x))=1

Lt_(x to 0) (sqrt(4+x)-""^(3) sqrt(8+x))/(x)=

Find Lt_(xto0)(sqrt(1+x)-sqrt(1+x^(2)))/(sqrt(1-x^(2))-sqrt(1-x))

Lt_(x to 2) (x^(sqrt(2))-2^(sqrt(2)))/(x-2)=