Find the taylor polynomial t3(x) for the function f centered at the number
a. f(x) = eâ4xsin(2x), a = 0

The Taylor polynomial will be written as .

Given:

The given function is .

It is required to find the Tylor polynomial centered at a=0.

Now, the expansion of the function can be written as,

Similarly, the expansion of the function will be,

So, the function will be written as,

Therefore, the Taylor polynomial will be written as .

For more details, refer to the llink:

link

what?

step-by-step explanation:

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

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