Home
Class 11
MATHS
Prove that root(3)(x^3+6)-root(3)(x^3+3)...

Prove that `root(3)(x^3+6)-root(3)(x^3+3)` is approximately equal to `(1)/(x^2)` when x is sufficiently large.

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER-20 (MOCK TEST PAPER)

    FULL MARKS|Exercise PART-IV|5 Videos
  • SAMPLE PAPER-20 (MOCK TEST PAPER)

    FULL MARKS|Exercise PART-II|10 Videos
  • SAMPLE PAPER-07 (UNSOLVED)

    FULL MARKS|Exercise PART-IV|7 Videos
  • SAMPLE PAPER-6 (UNSOLVED)

    FULL MARKS|Exercise PART-IV|6 Videos

Similar Questions

Explore conceptually related problems

Prove that root(3)(x^(3)+7)-root(3)(x^(3)+4) is approximately equal to (1)/(x^(2)) when x is large.

Prove that root(3)(x^(3)+7)-root(3)(x^(3)+4) is approximately equal to 1/x^(2) when x is large.

Solve : root(4)(|x-3|^(x+1))=root(3)(|x-3|^(x-2)) .

Find the roots of the equation x+(1)/(x)=3, x ne 0

lim_(xrarr1) (root(13)x-root7x)/(root5x-root3x) is

Evaluate lim_(xto1)(root(3)(7+x^3)-sqrt(3+x^2))/(x-1)

If ((1-3x)^(1//2)+(1-x)^(5//3))/(sqrt(4-x)) is approximately equal to a+bx for small values of x , then (a,b)=