New systematic approximants are proposed for exponential functions, operators and inner derivation δ H . Remainders of systematic approximants are evaluated explicitly, which give degrees of convergence of approximants. The first approximant corresponds to Trotter's formula [1]: exp(^4 + J3) = lim [Qxp(A/n) Qxp(B/n)~] n . Some applications to physics are also discussed.
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