Home
Class 11
MATHS
Evaluate lim(xrarr0)((sqrt(1+3x)-sqrt(1-...

Evaluate `lim_(xrarr0)((sqrt(1+3x)-sqrt(1-3x)))/(x).`

Text Solution

AI Generated Solution

To evaluate the limit \[ \lim_{x \to 0} \frac{\sqrt{1 + 3x} - \sqrt{1 - 3x}}{x}, \] we can follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27A|40 Videos

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27B|72 Videos

  • LIMIT

    RS AGGARWAL|Exercise EXERCISE 27C|15 Videos

  • HYPERBOLA

    RS AGGARWAL|Exercise EXERCISE 24|23 Videos

  • LINEAR INEQUATIONS (IN ONE VARIABLE)

    RS AGGARWAL|Exercise EXERCISE 6B|12 Videos

Similar Questions

Explore conceptually related problems

Evaluate : lim_(xrarr0) (sqrt(1+x)-sqrt(1-x))/( x)

Evaluate lim_(xrarr0){(sqrt(1+x)-sqrt(1-x))/(x)}.

lim_(x rarr0)(3sqrt(1+x)3sqrt(-1-x))/(x)

lim_(xrarr0) (sqrt(2+x)-sqrt(2))/(x)

Evaluate the following limits: lim_(xrarr0)((sqrt(1+2x)-sqrt(1-2x)))/(sinx)

lim_(xrarr0) (2x)/(sqrt(1+x)-1)

lim_(xrarr0) (sqrt(1-x^(2))-sqrt(1+x^(2)))/(2x^(2))

Evaluate the following limit: (lim)_(x rarr0)(sqrt(1+3x)-sqrt(1-3x))/(x^(2)-1)