- #1
reza
- 26
- 0
show that (for all posetive x)
x-1/2 x^2<ln(1+x)<x
i understand it in graf please prove it for my in methemathic
x-1/2 x^2<ln(1+x)<x
i understand it in graf please prove it for my in methemathic
reza said:show that (for all posetive x)
x-1/2 x^2<ln(1+x)<x
i understand it in graf please prove it for my in methemathic
reza said:show that (for all posetive x)
x-1/2 x^2<ln(1+x)<x
i understand it in graf please prove it for my in methemathic
reza said:thank you very much but how we can prove the other side
The proof of the logarithmic problem is a mathematical demonstration that shows the inequality x-1/2x^2 < ln(1+x) < x holds true for all real numbers greater than 0.
The proof of the logarithmic problem is important because it provides a mathematical justification for the inequality x-1/2x^2 < ln(1+x) < x, which is commonly used in various mathematical and scientific applications.
The proof of the logarithmic problem is derived using mathematical techniques such as algebra, calculus, and the properties of logarithms. It involves manipulating the given inequality to obtain a simpler form that can be easily proven.
The proof of the logarithmic problem is limited to real numbers greater than 0. It does not apply to complex numbers or negative numbers.
Yes, the proof of the logarithmic problem can be extended to other logarithmic functions as long as they have similar properties to the natural logarithm. However, the specific steps and techniques used in the proof may vary depending on the function.