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## Main Question or Discussion Point

I was reading a book about Calculus that I came to a problem that the author claimed convergence of a series won't change if we subtract a finite number of its terms from it, It seems to be intuitively clear, but I need a proof. so please Prove that the convergence/divergence status of a series won't change if we add/subtract a finite number of terms to/from it. please make it as rigorous as possible using only single-variable Calculus theorems.

Thanks in advance.

Thanks in advance.