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Limit of x - lnx as x approaches infinity: Solving Indeterminate . . . 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, so the whole product approaches infinity I think that's a reasonable approach
LHopital on limit of tanx (lnx) as x - gt;0 (from the right). 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: What steps are going on here?
What is the limit of x^lnx as x approaches 0+? - Physics Forums 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 no one has yet commented on this, let me correct you L' Hopital's Rule can only be applied when the limit is of the indeterminate form 0 0 or ±∞ ∞
Deriving ln (x) series • Physics Forums 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
Derivative of 1 lnx - Physics Forums 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 Tiny droplets that bounce for minutes without bursting might be able to do so indefinitely Diamond probe measures ultrafast electric fields with femtosecond precision
Understanding Why ln (x) and e Cancel Out • Physics Forums 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 statements of the rule Could anyone help me please? Thanks!
Why do people refer ln(x) as log(x) ? • Physics Forums The discussion centers on why "ln(x)" is often referred to simply as "log(x)" in mathematical contexts, particularly among professors and textbooks Participants note that in higher mathematics, the natural logarithm is more commonly used than base 10, leading to the convention of using "log" to denote the natural logarithm There is also confusion regarding the meaning of "log" in different