Home
Class 12
MATHS
Prove that (x)/(1 + x) lt log (1 + x) lt...

Prove that `(x)/(1 + x) lt log (1 + x) lt "x for x" gt 0`

Text Solution

Verified by Experts

The correct Answer is:
`(x)/(1 + x) lt log (1 + x) lt "x for x" gt 0`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - IV (VERY SHORT ANSWER TYPE QUESTIONS)|7 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - IV (SHORT ANSWER TYPE QUESTIONS )|17 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - III (VERY SHORT ANSWER TYPE QUESTIONS )|3 Videos
  • AREA UNDER PLANE CURVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

Prove that In(1+x) lt x for x gt 0.

Show that y = log (1+ x) - (2x) /( 2+x) , x gt -1 is an increasing function of x throughout its domain.

If xy log(x + y) = 1 , then prove that (dy)/(dx) = -(y(x^(2)y + x + y))/(x(xy^(2) + x + y)) .

Find the maximum and minimum values of f(x) = sec x + log cos^(2)x, 0 lt x lt 2pi .

Prove that, if f(x) = a_(0) + a_(1)x^(2) + a_(2)x^(4) and 0 lt a_(0) lt a_(1) lt a_(2) , then f(x) has only one minima at x = 0.