I am stuck on finding out the value of two terms of the Taylor series for this equation:
and also that this Taylor Series is centered near and at this point, the first few terms of this series looks like:
Finally, I am supposed to determine the values at the 1st and 11th term, again near .
Wouldn't both terms be 0 though since the value is dependent upon the x value, which is 0, or am I missing something? Thanks for the help.
The function value (for x=0) is only not zero for the (3n+5)th derivative. With n is a real positive integer. This meas that only the (3n+6)th terms in de serie are not equal to zero.
Since 1 and 11 are both not a (3n+6) term, they have to be zero.