L'Hopital on limit of tanx (lnx) as x ->0 (from the right).
Mar 20, 2012 · The discussion revolves around evaluating the limit of the product of the tangent function and the natural logarithm as x approaches zero from the right. Participants explore the application of …
How Do I Calculate the Integral of e^x (lnx) and Anti-Derivative of x^x?
Aug 17, 2008 · The discussion revolves around the calculation of the integral of the function e^x (lnx) and the anti-derivative of x^x. Participants explore various methods and approaches to tackle these …
What is the limit of x^lnx as x approaches 0+? - Physics Forums
Jan 22, 2012 · The discussion revolves around the limit of the expression x^ln (x) as x approaches 0 from the positive side. Participants explore various methods to evaluate this limit, including the …
Limit of x - lnx as x approaches infinity: Solving Indeterminate ...
May 11, 2010 · The problem involves finding the limit of the expression x - ln (x) as x approaches infinity. This is identified as an indeterminate form of type ∞ - ∞, prompting various approaches to evaluate …
The limit as x approaches 1 of x / ln (x) • Physics Forums
Sep 6, 2008 · The discussion revolves around evaluating the limit of the function x / ln (x) as x approaches 1. Participants are exploring the implications of reaching a semi-indeterminate form and …
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 …
Reduction formula for ∫(lnx)^n dx - Physics Forums
Oct 24, 2010 · The discussion revolves around deriving a reduction formula for the integral of the natural logarithm raised to the power of n, specifically ∫ (lnx)^n dx, and applying it to evaluate the integral ∫1e …
Solution of Integral \frac {1} {lnx} • Physics Forums
Mar 26, 2008 · The discussion revolves around the integral of the function \ (\frac {1} {\ln x}\). Participants are exploring different approaches to find a solution or a closed form for this integral. …
Is the function concave up or down if #f (x)= (lnx)^2#? - Socratic
It is concave up on the interval (0,e) and concave down on (e, oo). f (x)= (lnx)^2. f' (x) = 2 (lnx)*1/x = (2lnx)/x. f'' (x) = ( (2/x)*x - 2lnx *1)/x^2 = (2 (1-lnx))/x^2. 1-lnx = 0 where lnx = 1 which is at x=e. All …
How to Solve for x in ln (x) + x = 10: Quick and Easy Method
Feb 19, 2007 · The discussion revolves around solving the equation ln (x) + x = 10, which involves concepts from calculus and logarithmic functions. Participants explore various methods and …