andre_teprom
rtalcott ,
The link was very useful for me...Thanks..
and yes, I have come across fourier series in my engineering to write a function in terms of sine and cosine which I was able to make sense of, as its tells the frequency
distribution of the function...
Even the exponential function 'e', sin(x),cos(x) can be expressed as a series... which I agree to an extend that they are someway related to physical phenomena and they
are used in calculating radioactive decay, compound interest problem etc...
But, wat about the other series like Power series, geometric series and other unnamed series like
(1/1*2) + (1/2*3) + (1/3*4) + ...
etc... Their use is not very apparent thought esp why is it so much important to calculus..
Why do we require tests like
Comparison test
D' Alembert's Ratio test
Raabe's test...
etc etc to check whether they converg or diverge...