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How to Simplify (Lnx)^n for Homework? - Physics Forums Homework Statement Im trying to simply (lnx)^n say (ln2)^3 Homework Equations ? The Attempt at a Solution Im lost on this one I can't find any information All info I'm finding is dilute because of similar search terms Please, and thanks!
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
What is the limit of x^lnx as x approaches 0+? - Physics Forums The limit of x^ln (x) as x approaches 0 from the right (0+) is evaluated using the transformation e^ (ln (x) * ln (x)) As x approaches 0+, ln (x) diverges to -∞, leading to (ln (x))^2 diverging to +∞ Therefore, the limit can be expressed as lim (y → -∞) e^ (y^2) = ∞ L'Hôpital's Rule is not applicable in this case since the form is not 0 0 or ±∞ ∞, but rather -∞ 0 Study
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!
Is ln (x) differentiable at negative x-axis • Physics Forums 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?