Ok, it has been a while since i have done anything with taylor series/polynomials (i was never that good with them in the first place haha). But i have been given the problem:
Calculate the Taylor series at x=0 of:
f(x) = exp(-1/x) for x>0; 0 for x\(\leq\)0.
Why is the result interesting?
The part that i am struggling is with is how to approach the problem being that it is a piecewise function. I have calculated the derivatives of the function at x=0. Turns out that they are all undefined for x>0 and 0 for x\(\leq\) 0.
I hope someone will be able to point me in the right direction. Thanks in advance.
Calculate the Taylor series at x=0 of:
f(x) = exp(-1/x) for x>0; 0 for x\(\leq\)0.
Why is the result interesting?
The part that i am struggling is with is how to approach the problem being that it is a piecewise function. I have calculated the derivatives of the function at x=0. Turns out that they are all undefined for x>0 and 0 for x\(\leq\) 0.
I hope someone will be able to point me in the right direction. Thanks in advance.