Hi, I've read that the speed of em waves in the vacuum is the electric field component frac the magnetic field component, why and how can this be explained more easily ?
Thanks
Homework Statement
Hello, I have to calculate the derivative of y = log_x (x+1) so I used the formula of the derivative of a n-base logarithm and I get y' = 1/((x+1)logx) but that's wrong, why ?
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Homework Equations
log_a x = 1/(xlog(a))
Homework Statement
Hello, I have to prove, using the limit definition, that \lim_{x\to 1^{+}}{\frac{x-3}{x-1}}=-\infty
The Attempt at a Solution
I've set this unequation \frac{x-3}{x-1} < - M but it doesn't lead to the result 1<x<1+\frac{2}{M+1}, what did I wrong ?
Thanks
I mean \lim_{x\to c}{f(x)\cdot g(x)} = \lim_{x\to c}{f(x)}\cdot\lim_{x\to c}{g(x)}
Why they must be finite and anyway what allow me to ignore the other limit in case it isn't ?
I still can't understand Taylor series, I just would like to know why in this case the limit product rule doesn't work (ok for the infinity grade but shouldn't it work with as a product too ? )
Hello, why lim_{x\to (0)^{+}}e^{1/x}3x^2 = +\infty
if
lim_{x\to (0)^{+}}e^{1/x} = \infty and \lim_{x\to (0)^{+}}{3x^{2}} = 0
shouldn't it be +\infty * 0 ? I can't get it :(
Thanks