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 …
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
Maclaurin Series for ln (1+e^x) and \frac {x} { (e^x-1)} - Physics Forums
Oct 29, 2005 · obtain the maclaurin series expansions of the following: ln (1+e^x) ok I am quite lost..i assume you set it equal to f (x) then differentiate..but what...
What's the UNIT after you take the natural log? • Physics Forums
Mar 20, 2007 · The discussion centers on the dimensionality of the natural logarithm of pressure, specifically ln (p), in the context of the vapor pressure of water. Participants clarify that while ln (p) is …
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...
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. …
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 …
Taylor series of 1/ln(t+1) at t=0 • Physics Forums
Aug 10, 2023 · The discussion revolves around calculating the Taylor series for 1/ln(t+1) at t=0, where a participant struggles with obtaining the correct series expansion. They initially derive an incorrect …