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In: Advanced Math

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

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

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