Home
Class 12
MATHS
Prove the inequalities x-x^(2) lt In ...

Prove the inequalities
`x-x^(2) lt In (1+x) "at" x gt 0 `

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DIFFERENTIAL CALCULUS TO INVESTIGATION OF FUNCTIONS

    IA MARON|Exercise APPLICATION OF TAYLOR.S FORMULA TO EVALUATION OF LIMITS|6 Videos

  • APPLICATION OF DIFFERENTIAL CALCULUS TO INVESTIGATION OF FUNCTIONS

    IA MARON|Exercise TESTING A FUNCTION FOR MONOTONICITY|19 Videos

  • APPLICATION OF DIFFERENTIAL CALCULUS TO INVESTIGATION OF FUNCTIONS

    IA MARON|Exercise EVALUATION OF INDETERMINATE FORMS|21 Videos

  • APPLICATIONS OF THE DEFINITE INTEGRAL

    IA MARON|Exercise Computing Static Moments and Moments of Inertia. Determining Coordinates of the Centre of Gravity|15 Videos

Similar Questions

Explore conceptually related problems

Solve the inequation: 3/ (x-2) lt0

Prove the inequalities tan x gt x + x^(3) //3 " at" 0 lt x lt pi//2

Prove the inequalities 1 +1/2 x - (x^(2))/8 lt sqrt(1+x) lt 1 +1/2 x at 0 lt x lt oo

Prove the following inequalities : e^(x) gt e^(-x) at x gt 1 .

Solve the inequation : 0lt x/3 lt1

Solve the inequations 0lt(-x)/(3)lt1 .

Solve the inequation: - 1/(x+2)gt0

Solve the inequation 2/(x-3)lt0

10.Solve the inequation (x-5)/(x+2)lt0