Euler常数的证明及应用

The proof and application of the Euler′s constant

给出了用级数与定积分不等关系的方法证明Euler常数,此种方法较一般教科书介绍的方法容易,并通过例子介绍了Euler常数在求级数的和、级数的收敛域、极限和定积分方面的应用.

Providing an approach in the confirmation of Euler＇s constant through unequal relatioship between series and definite integrals, this paper tends to introduce with examples the applications of Euler＇s constant in the summation beseeehing and series convergence domain of definite integrals.