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 .

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hi,

3. 12.15, you are correct.

4.2.01, your first digit is correct,

hope this !