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1. Find the first ten values of f (k)(0) and determine whether or not there is an equation for the fkth(0) term.
f(x) = 1/(x2+1)
x = 1, 2, 3,...
Find f(k)(0) when k = 1, 2, 3,... for the first 10 values of k.
I got that
f'(x) = 0
f''(x) = -2
f'''(x) = 0
f4(x) = 24
f5(0) = 0
And...that is as far as I got.
f(x) = 1/(x2+1)
x = 1, 2, 3,...
Find f(k)(0) when k = 1, 2, 3,... for the first 10 values of k.
I got that
f'(x) = 0
f''(x) = -2
f'''(x) = 0
f4(x) = 24
f5(0) = 0
And...that is as far as I got.