Question

With help from Taylor series, expand f(x)=e^(sinx) with a fourth order polynomial by substituting the expanding of sinx in the expansion by e^x.
Completely mega stuck. :(

Answer 1

which you have to make an expantion , 0?

Answer 2

i mean which point, sry

Answer 3

Maclaren?

Answer 4

Indeed!

Answer 5

so i guess this thing that says :" substituting the expanding of sinx in the expansion by e^x" might mean that x and sinx are equivalent if you are close enough to 0. So I would guess what you need to do is just expand a e^x. Not sure....

Answer 6

Think I figured it out, thanks!
1+x+x^2/2-x^4/8
Not 100% though, all the solving/writing is making my fingers go numb, hehe.

Answer 7

ya, thats e^x expansion