Home
Class 11
MATHS
Prove that root(3)(x^(3)+7)-root(3)(x^(3...

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

Promotional Banner

Topper's Solved these Questions

  • GOV. MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise Section - III|11 Videos
  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-D (5 MARKS)|4 Videos
  • GOVT. MODEL QUESTION PAPER - 2 (2018 - 19)

    SURA PUBLICATION|Exercise SECTION - IV|13 Videos

Similar Questions

Explore conceptually related problems

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

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

Integrate root (3) (x^(4))

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

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)=

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

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

lim_(xto2)(2-sqrt(x+2))/(root(3)(2)-root(3)(4-x))

Let f(x) = root(3)(x) . Find the linear approximation at x = 27. Use the linear approximation to approximate root(3)(27.2)