Is ln(-1) Equal to Zero? • Physics Forums
Mar 6, 2007 · The conversation highlights the distinction between real and complex logarithms, clarifying that while ln(-1) is undefined in the real number system, it can be defined in the complex domain. …
What Connects the Natural Logarithm of i with Pi? - Physics Forums
Jan 31, 2011 · Why does ln(i) = (1/2pi)i? I was bored the other day and wondered whether or not it would be possible to find out the natural log of the imaginary number i. Typed it into my TI-84 and it …
How the value of ln(-1) is derived • Physics Forums
Jan 18, 2012 · The value of ln(-1) is derived from Euler's identity, which states that e^{(2k+1)i\pi} equals -1 for any integer k. This relationship arises from the definitions of the complex exponential and …
What is the Taylor expansion for ln (1+z)? • Physics Forums
Feb 23, 2006 · the problem reads develop expansion of ln(1+z) of course I just tried throwing it into the formula for taylor expansions, however I do not know what F(a) is, the problem doesn't specify, so …
Relationship between ln k and 1/t using different formula
Jan 4, 2019 · Relationship between ln k and 1/t using different formula Ethan Cheng Jan 4, 2019 Formula Kinematic Ln Relationship Thermodynaics Click For Summary
Is ln (1+x) Always Greater Than or Equal to x - x^2/2 for x>=0?
Dec 31, 2012 · Hello, Homework Statement I was asked to prove that for every x>=0, ln (1+x)>= (x-x^2/2). Homework Equations The Attempt at a Solution I...
What's the UNIT after you take the natural log? - Physics Forums
Mar 20, 2007 · I was working on an experiment for the vapor pressure of water and I have the following formula ln (p) = -L/(RT) + ln (p_o) L=heat of vaporization of water R=Molar gas constant …
What is the MacLaurin series for f (x)=ln (1+x^2)? - Physics Forums
May 25, 2011 · MacLaurin Series Integration... I have to find the MacLaurin for f(x)=ln(1+x^2) So i started off by finding the derivative of the function getting \\frac{2x}{1+x^2} My issue lies with the 2x …
Understanding Why ln (x) and e Cancel Out • Physics Forums
Aug 4, 2012 · Hi, I have a hard time understanding why ln (x) and e cancel out, when, for example, we have something like: eln(2x+3) I tried an internet search but I did not get any good explanation, just …
Prove (lim n -> infinity) (1 + 1/n)^n = e • Physics Forums
Jan 13, 2005 · The discussion focuses on proving that the limit as n approaches infinity of (1 + 1/n)^n equals e, which is defined as the unique number satisfying the derivative condition of e^h at h=0. …