Consider the fourier sine series of each of the following functions. in this exercise do not compute the coefficients but use the general convergence theorems (theorems 2, 3, and 4) to discuss the convergence of each of the series in the pointwise, uniform, and l2 senses.(a) f (x) = x3 on (0, ) f (x) = lx − x2 on (0, ) f (x) = x−2 on (0, l).

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

umm im not really sure because i never had to do this

step-by-step explanation: