Show that Lt(xto0)(x)/(sqrt(1+x)-sqrt(...

Show that
`Lt_(xto0)(x)/(sqrt(1+x)-sqrt(1-x))=1`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

LIMITS
AAKASH SERIES|Exercise EXERCISE 1.4 (VERY SHORT ANSWER QUESTIONS)|15 Videos
LIMITS
AAKASH SERIES|Exercise EXERCISE 1.4 ( SHORT ANSWER QUESTIONS)|10 Videos
LIMITS
AAKASH SERIES|Exercise EXERCISE 1.2 (VERY SHORT ANSWER QUESTIONS)|9 Videos
INVERSET TRIGONOMETRIC FUNCTIONS
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos
LOCUS
AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

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+)(|x|)/x=1

Show that Lt_(xto0-)(|x|)/x=-1

Show that Lt_(xto0)(e^(x)-1)/x=1

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

Show that Lt_(xto2-)(|x-2|)/(x-2)=-1

Show that Lt_(xto0)(sin^(-1)(x))/x=1

Show that Lt_(xto0)(|x|)/x does not exist.

Lt_(x to 0)(sqrt(1-cos2x))/(sqrt(2)x)=

Show that Lt_(xto0)((1+x)^(1//6)-(1-x)^(1//6))/x=1/3

AAKASH SERIES-LIMITS-EXERCISE 1.2 ( SHORT ANSWER QUESTIONS)

Show that Lt(xto0)(x)/(sqrt(1+x)-sqrt(1-x))=1
Text Solution
|
Show that : Lt(x to 0)(sqrt(1+x)-sqrt(1+x^(2)))/(sqrt(1+x^(2))-sqrt(...
Text Solution
|
Show that : Lt(x to a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x))=(2...
Text Solution
|
Show that Lt(xto0)((1+x)^(3//2)-1)/x=3/2
Text Solution
|
Evaluate Lt(x to 0) (root(3)(1+x)-root(3)(1-x))/(x)
Text Solution
|
Evaluate Lt(x to 0)((1+x)^(1//8) - (1 - x)^(1//8))/(x)
Text Solution
|
Show that : lim(x to 3)(x-3)/(sqrt(|x^(2)-9|))=0
Text Solution
|
Evaluate Lt(x to 0)(e^x-sinx-1)/(x)
Text Solution
|
Evaluate Lt(x to 1)(log(e)x)/(x - 1)
Text Solution
|
Evaluate Lt(x to 0)(log(1 + 5x))/(x)
Text Solution
|
Evaluate Lt(x to 3) (e^x - e^3)/(x - 3)
Text Solution
|
Evaluate lim(x to 0) (e^(sinx)-1)/(x)
Text Solution
|