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  1. n.karthick

    Lim x→∞ (x[(1 + 1/x)^x] - e)

    But it looks obvious that the limit does not exist !!!
  2. n.karthick

    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. n.karthick

    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. n.karthick

    Integral of e^x/x

    Whatever way I try it is bouncing back to beginning. Finally wikipedia page gave me the answer.
  5. n.karthick

    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. n.karthick

    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. n.karthick

    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...