# Search results

1. ### Lim x→∞ (x[(1 + 1/x)^x] - e)

But it looks obvious that the limit does not exist !!!
2. ### Laplace Transformation

Yeah, Laplace transform can transform a differential equation in to algebraical equation which is much easier to manipulate and when we take inverse transform we get solution of that differential equation.
3. ### What is a differential.

In short dy/dx represents the slope of the function y(x) and it could be a function of x. That is, the slope of y(x) itself is varying wrt x.
4. ### Integral of e^x/x

Whatever way I try it is bouncing back to beginning. Finally wikipedia page gave me the answer. http://en.wikipedia.org/wiki/Exponential_integral
5. ### Integral of e^x/x

e^lnx = x is true only if x>0 right? I tried conventional method to solve this integral and i got different answer. I have to check my answer.
6. ### Integral of e^x/x

It seems that you have missed 1/x in step 2. The final answer you got is just e^x + c. How it can be? Can you check step no. 2? Regarding MS word one can disable macros and defend from viruses. For me it worked!!
7. ### Difference between Forward and Backward Fourier Transforms?

Actually minus sign is introduced for generality. Fourier transforms have reciprocal (reversible) property i.e., if you take Fourier transform on a signal two times you will end up with original signal. So if [tex] f(x) [/itex] is even function then both forward and inverse transforms can have...