Home
Class 12
MATHS
Suppose s and t are positive and t is ve...

Suppose s and t are positive and t is very small when compared to s. Then find an approximate value of
`((s)/(s+t))^(1//3)-((s)/(s-t))^(1//3)`.

Text Solution

Verified by Experts

The correct Answer is:
`=(-2)/(3)(t)/(s)-(28)/(81)(t^(3))/(s^(3))`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TETUAL EXERCISES (EXERCISE - 6(b)) III.|9 Videos
  • ANDHRA PRADESH MARCH 2019

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise QUESTION|21 Videos
  • CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(e)|25 Videos

Similar Questions

Explore conceptually related problems

What are S.T.P conditions?

Select a suitable identity and find the following products: (3t+ 9s) (3t-9s)

The distance 's' described by a particle in t seconds is given by s=ae^t+be^-t . The velocity at any time t is

A simple pendulum has a time period T_(1) when on the earth.s surface and T_(2) when it taken a height .R. above the earth.s surface, where .R. is the radius of the earth. The value of T_(2)//T_(1) is

The distance travelled by a particle in time t is given by s=10t-7t^3 . The maximum velocity is

A particle moves along a line by s = t^(3) - 9t^(2) + 24t . Then S is decreasing when t in

If the distance s travelled by a particle in time t is given by s=t^2-2t+5 , then its acceleration is