Analyticity of trigonometric functions (a) Directly from the definition, construct the Taylor Series centered at x...

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Analyticity of trigonometric functions (a) Directly from thedefinition, construct the Taylor Series centered at x = 0 for thefunction f(x) = cos(x). (b) Show that this series converges for allx ∈ R. (c) Show that this series converges to cos(x) for all x ∈R.  

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