Limit of x - lnx as x approaches infinity: Solving Indeterminate ...
May 11, 2010 · Which might be why you ended up with a value of 0 instead of the right value, which is infinity. It's much simpler to write x - lnx as x (1 - lnx/x), and note that 1 - lnx/x --> 1 as x --> infinity, …
What is the limit of x^lnx as x approaches 0+? - Physics Forums
Jan 22, 2012 · ln(x^lnx)= lnx*lnx. To apply L'Hospitals Rule I have to have it in quotient form, so I rearranged my equation to lnx/ (1/lnx). After taking the derivative of both I ended up at -(lnx)^2. Since …
Why is x^ (1/x) = e^ ( (1/x)lnx)? - Physics Forums
Dec 26, 2012 · The discussion centers on the mathematical relationship between x^ (1/x) and e^ ( (1/x)ln (x)). Participants explain that logarithms can define exponentiation, leading to the equality x = e^ (ln …
Derivative of 1/lnx - Physics Forums
Oct 28, 2007 · ln y = -lnx y = -x y' = -1 Which one is it? =/ Physics news on Phys.org Optical system achieves terabit-per-second capacity and integrates quantum cryptography for long-term security …
Deriving ln (x) series • Physics Forums
Dec 8, 2007 · How do you go about deriving the series expansion of ln (x)? 0 < x I got the representation at math.com but i'd still like to know how they got it. It's...
Is ln (x) differentiable at negative x-axis • Physics Forums
Jan 12, 2016 · Since lnx is defined for positive x only shouldn't the derivative of lnx be 1/x, where x is positive. My books does not specify that x must be positive, so is lnx differentiable for all x?
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 …
Solution of Integral \frac {1} {lnx} - Physics Forums
Mar 26, 2008 · Homework Statement Find \int \frac {1} {lnx} dx The Attempt at a Solution Let t=lnx \Rightarrow \frac {dt} {dx}=\frac {1} {x} \Rightarrow dx=e^t...
L'Hopital on limit of tanx (lnx) as x ->0 (from the right).
Mar 20, 2012 · L'Hopital on limit of tanx(lnx) as x -->0 (from the right). Regarding this solution to the lim of (tanx)(lnx) as x approaches zero (from the right). I'm confused about the part I outlined in blue: …
Solving Lim x→∞ (x - ln x): Step by Step Guide - Physics Forums
Jun 3, 2009 · Can somebody show a step by step process of how to get this answer? I keep getting -∞ when it should be ∞ heres my work: lim x→∞ (x - ln x) = lim...