DeterminantHard

Question

Let f(x) = , then

Options

A.fn (1) is indepedent of a
B.fn (1) is indepedent of n
C.fn(1) depends on a and n
D.y = a(x - fn (1)) represents a straight line through the origin

Solution

f(x) =
f′(x) =
f′(x) =
fn(x) =
fn(1) =
= (-1)n n! = 0
and y = a (x - fn(1))
y = ax

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