Taylor Series of $f(x) = \sqrt{x}$ about $c = 1$
91380
Taylor series expansion for $f(x)=\sqrt{x}$ for $a=1$
75932
Differentiability of $g:=f(\sqrt{x^2+y^2})$ for a $C^1$ function with $f'(0)=0$ NBHM $2008$
22153
Power Series of a Holomorphic Function determined by its Real Part and $f(0)$?
61998
Multiplying Taylor series and composition
140516
How does one prove the Taylor's Theorem by the Cauchy's Mean Value Theorem?
55853
Proof using Taylor's theorem
83517
Taylor series of Infinitely differentiable function with nonnegative derivatives
52856
Taylor's Theorem with Peano's Form of Remainder
68409
Consider $f(x,y)=\sup_{θ,φ}\{||e^{i θ }x+ e^{i φ }y||^2: θ,φ∈R\}$ in which $x,y\in\mathbb C^n$
42708
Numerical Differentiation using Taylor series
63829
Use Cauchy product to find a power series represenitation of $1 \over {(1-x)^3}$
80680
General term of Taylor Series of $\sin x$ centered at $\pi/4$
76311
$f'' + f =0$: finding $f$ using power series
154001
$(g\circ f)^{-1}=f^{-1}\circ g^{-1}$
34060
Laurent Series of $f(z) = \sin {\frac{1}{z}}$ at $z=0$
48309
What kind of functions cannot be described by the Taylor series? Why is this?
152441
Vanishing of Taylor series coefficient