Find the Taylor series of $f(x) =\sqrt{1 + \sin{x}}$ around $x_0= 0$
I am aware of the taylor series expansion formula, but that's where I get stuck. Any help/a "model" solution on how to solve such problems would be helpful!
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Sign up to join this communityFind the Taylor series of $f(x) =\sqrt{1 + \sin{x}}$ around $x_0= 0$
I am aware of the taylor series expansion formula, but that's where I get stuck. Any help/a "model" solution on how to solve such problems would be helpful!
Hint
Use the fact that $$\sqrt{1+\sin(x)}=\sin \left(\frac{x}{2}\right)+\cos \left(\frac{x}{2}\right)$$